Question

Rectangle A is similar to rectangle B. The ratio of the length of rectangle A to the length

of rectangle B is 2 : 5. The width of rectangle BIs 36 inches. What is the width of
rectangle A?
A 90 in.
B
17.6 in.
B
А
с
28.8 in.
D
14.4 in.

Answer 1

D. 14.4

Explanation:

In similar polygons, corresponding sides are proportional. We can write the proportion:

`(l-A)/(l-B) =(w-A)/(w-B)`

l-A is the length of A, l-B is the length of B, w-A is the width of A, and w-B is the width of B. We are given the ratio of the lengths is 2:5, so we can substitute it in:

`(2)/(5) =(w-A)/(36)`

We can cross multiply:

72 = 5w-A

w-A = 14.4