How to find if rectangles are similar

Math · Learn by Concept

Help Questions

Math › How to find if rectangles are similar

1 - 1
1

Two rectangles are similar. The perimeter of the first rectangle is 36. The perimeter of the second is 12. If the base length of the second rectangle is 4, what is the height of the first rectangle?

8

0

2

0

4

0

6

CORRECT

10

0

Explanation

Solve for the height of the second rectangle.

Perimeter = 2B + 2H

12 = 2(4) + 2H

12 = 8 + 2H

4 = 2H

H = 2

If they are similar, then the base and height are proportionally equal.

B1/H1 = B2/H2

4/2 = B2/H2

2 = B2/H2

B2 = 2H2

Use perimeter equation then solve for H:

Perimeter = 2B + 2H

36 = 2 B2 + 2 H2

36 = 2 (2H2) + 2 H2

36 = 4H2 + 2 H2

36 = 6H2

H2 = 6

Return to subject
AI Study Coach
Instant Tutoring
Request a Tutor
Live Classes
Questions of the Day
Flashcards
Worksheets
AI Solver
Learn by Concept
Diagnostic Tests
Practice Tests
Games