Trapezoids - ISEE Lower Level Quantitative Reasoning
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Daria found the perimeter of the below trapezoid to be 29 inches.
What is the length of the missing side?
Daria found the perimeter of the below trapezoid to be 29 inches.
What is the length of the missing side?
To find the perimeter of a trapezoid, add up the lengths of its four sides. In the given trapezoid,
To find the missing side, combine like terms and solve for 
:
The missing side of the trapezoid is 
long.
To find the perimeter of a trapezoid, add up the lengths of its four sides. In the given trapezoid,
To find the missing side, combine like terms and solve for
The missing side of the trapezoid is
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What is the perimeter of the above trapezoid?
What is the perimeter of the above trapezoid?
To find the perimeter of a trapezoid, add up the lengths of the four sides. In the given trapezoid,
To find the perimeter of a trapezoid, add up the lengths of the four sides. In the given trapezoid,
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Angela found the perimeter of the trapezoid below to be 35 cm.
What is the length of the missing side?
Angela found the perimeter of the trapezoid below to be 35 cm.
What is the length of the missing side?
To find the perimeter of a trapezoid, add up the lengths of the four sides. In the given trapezoid,
To find the missing side, combine like terms and solve for 
.
The length of the missing side is thus 
.
To find the perimeter of a trapezoid, add up the lengths of the four sides. In the given trapezoid,
To find the missing side, combine like terms and solve for
The length of the missing side is thus
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What is the perimeter of the above trapezoid?
What is the perimeter of the above trapezoid?
To find the perimeter of a trapezoid, add up the lengths of the four sides. In the given trapezoid,
To find the perimeter of a trapezoid, add up the lengths of the four sides. In the given trapezoid,
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Find the perimeter of the following trapezoid.
Find the perimeter of the following trapezoid.
In order to find the perimeter of the trapezoid, we have to add up all the outer sides:
In order to find the perimeter of the trapezoid, we have to add up all the outer sides:
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Find the perimeter of the following trapezoid.
Find the perimeter of the following trapezoid.
In order to find the perimeter we must add up all the outer sides of the trapezoid.
In order to find the perimeter we must add up all the outer sides of the trapezoid.
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What is the area of a trapezoid if its height is 1, its long base is 4, and its short base is 2?
What is the area of a trapezoid if its height is 1, its long base is 4, and its short base is 2?
The area of a trapezoid is given by the formula 
.
We know that the height is 1, the long base is 4, and the short base is 2.
The area of a trapezoid is given by the formula
We know that the height is 1, the long base is 4, and the short base is 2.
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Which formula would you use to find the area of a trapezoid?
Which formula would you use to find the area of a trapezoid?
The find the area of a trapezoid, use:
The find the area of a trapezoid, use:
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Note: Figure NOT drawn to scale.
Mr. Smith owns the triangular piece of land seen in the above diagram. He sells the trapezoidal parcel shown at bottom right to his brother. What is the area of the land he retains?
Note: Figure NOT drawn to scale.
Mr. Smith owns the triangular piece of land seen in the above diagram. He sells the trapezoidal parcel shown at bottom right to his brother. What is the area of the land he retains?
The area of a triangle is half the product of its base and its height, so Mr. Smith's parcel originally had area
square feet.
The area of a trapezoid is the half product of its height and the sum of its two parallel sides (bases), so the portion Mr. Smith sold to his brother has area
square feet.
Therefore, Mr. Smith retains a parcel of area
square feet.
The area of a triangle is half the product of its base and its height, so Mr. Smith's parcel originally had area
The area of a trapezoid is the half product of its height and the sum of its two parallel sides (bases), so the portion Mr. Smith sold to his brother has area
Therefore, Mr. Smith retains a parcel of area
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The above diagram shows a trapezoidal home within a rectangular yard. What is the area of the yard?
The above diagram shows a trapezoidal home within a rectangular yard. What is the area of the yard?
The area of the yard is the area of the small trapezoid subtracted from that of the large rectangle. The area of a rectangle is the product of its length and its height, so the large rectangle has area
square meters.
The area of a trapezoid is half the product of its height and the sum of its two parallel sides (bases), so the small trapezoid has area
square meters.
The area of the yard is the difference of the two:
square meters.
The area of the yard is the area of the small trapezoid subtracted from that of the large rectangle. The area of a rectangle is the product of its length and its height, so the large rectangle has area
The area of a trapezoid is half the product of its height and the sum of its two parallel sides (bases), so the small trapezoid has area
The area of the yard is the difference of the two:
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What is the width of the rectangle if the perimeter is 
and the length is 
?
What is the width of the rectangle if the perimeter is
The formula for perimeter of a rectangle is 
To solve for the width we can plug our known values into the equation.
Subtract 
from both sides
Divide 
by both sides
The formula for perimeter of a rectangle is
To solve for the width we can plug our known values into the equation.
Subtract
Divide
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What is the area of the above trapezoid?
What is the area of the above trapezoid?
The formula for the area of a trapezoid is 
In other words, find the average of the bases and multiply by the height. Substituting in the values of the bases for the given trapezoid, 
and 
, you get:
The formula for the area of a trapezoid is
In other words, find the average of the bases and multiply by the height. Substituting in the values of the bases for the given trapezoid,
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What is the area of the above trapezoid?
What is the area of the above trapezoid?
The formula for the area of a trapezoid is 
In other words, find the average of the bases and multiply by the height. Substituting the values of the bases of the given trapezoid, 
and 
, into the equation, you get:
The area of the trapezoid is thus 
.
The formula for the area of a trapezoid is
In other words, find the average of the bases and multiply by the height. Substituting the values of the bases of the given trapezoid,
The area of the trapezoid is thus
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Ted drew the parallelogram shown below.
What is the perimeter of the parallelogram?
Ted drew the parallelogram shown below.
What is the perimeter of the parallelogram?
The perimeter of a parallelogram can be found by summing the lengths of each of the sides. In a parallelogram, opposite sides have the same length. Therefore, you should use the equation 8 + 8 + 5 + 5 = P. The perimeter of the parallelogram is 26 feet.
The perimeter of a parallelogram can be found by summing the lengths of each of the sides. In a parallelogram, opposite sides have the same length. Therefore, you should use the equation 8 + 8 + 5 + 5 = P. The perimeter of the parallelogram is 26 feet.
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Guillermo drew the parallelogram below.
What is the perimeter of the parallelogram?
Guillermo drew the parallelogram below.
What is the perimeter of the parallelogram?
The perimeter of a parallelogram can be found by summing the lengths of each of the sides. In a parallelogram, opposite sides have the same length. Therefore, you should use the equation 8 + 8 + 12 + 12 = P. The perimeter of the parallelogram is 40 feet.
The perimeter of a parallelogram can be found by summing the lengths of each of the sides. In a parallelogram, opposite sides have the same length. Therefore, you should use the equation 8 + 8 + 12 + 12 = P. The perimeter of the parallelogram is 40 feet.
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Find the perimeter of the following parallelogram.
Find the perimeter of the following parallelogram.
We plug in our values into the equation for the perimeter:
We plug in our values into the equation for the perimeter:
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Find the perimeter of the following parallelogram.
Find the perimeter of the following parallelogram.
We plug in our values into the equation for the perimeter:
We plug in our values into the equation for the perimeter:
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What is the perimeter of the polygon below?
What is the perimeter of the polygon below?
To find the area of a perimeter, we add all of the side lengths together.
To find the area of a perimeter, we add all of the side lengths together.
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What is the perimeter of the polygon below?
What is the perimeter of the polygon below?
To find the area of a perimeter, we add all of the side lengths together.
To find the area of a perimeter, we add all of the side lengths together.
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What is the perimeter of the polygon below?
What is the perimeter of the polygon below?
To find the area of a perimeter, we add all of the side lengths together.
To find the area of a perimeter, we add all of the side lengths together.
Compare your answer with the correct one above