How to find perimeter

ISEE Middle Level Quantitative Reasoning · Learn by Concept

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ISEE Middle Level Quantitative Reasoning › How to find perimeter

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Angela has a garden that she wants to put a fence around. How much fencing will she need if her garden is by

CORRECT

Explanation

The fence is going around the garden, so this is a perimeter problem.

What is the length of a rectangular room with a perimeter of and a width of

CORRECT

Explanation

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

Subtract from both sides

Divide by both sides

$\frac{50}{2}=\frac{2l}{2}$

What is the perimeter of a square with area 196 square inches?

$56 ; \textrm{in}$

CORRECT

$28 ; \textrm{in}$

$112 ; \textrm{in}$

$64; \textrm{in}$

It cannot be determined from the information given.

Explanation

A square with area 196 square inches has sidelength $\sqrt{196} = 14$ inches, and therefore has perimeter $4 \cdot 14 = 56$ inches

What is the length of a yard with a perimeter of and a width of

CORRECT

Explanation

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

Subtract from both sides

Divide by both sides

$\frac{10}{2}=\frac{2l}{2}$

David wants to put a fence around his backyard. How much fencing will he need if his backyard is by

CORRECT

Explanation

The fence is going around the backyard, so this is a perimeter problem.

What is the length of a yard with a perimeter of and a width of

CORRECT

Explanation

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

Subtract from both sides

Divide by both sides

$\frac{14}{2}=\frac{2l}{2}$

What is the length of a rectangular room with a perimeter of and a width of

CORRECT

Explanation

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

Subtract from both sides

Divide by both sides

$\frac{28}{2}=\frac{2l}{2}$

What is the length of a rectangular room with a perimeter of and a width of

CORRECT

Explanation

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

Subtract from both sides

Divide by both sides

$\frac{64}{2}=\frac{2l}{2}$

Each side of a square is units long. Which is the greater quantity?

(A)

(B) The perimeter of the square

(A) and (B) are equal

CORRECT

(A) is greater

(B) is greater

It is impossible to determine which is greater from the information given

Explanation

The perimeter of a square is four times its side length:

$P=4\times4t$

Since the perimeter is equal to , (A) and (B) are equal.

David wants to put a fence around his backyard. How much fencing will he need if his backyard is by

CORRECT

Explanation

The fence is going around the backyard, so this is a perimeter problem.

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