Question

Two rectangles are similar. The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is 25 cm. What is its length?

Answer 1

Its length is 37.5 cm.

Explanation:

If two rectangles are similar, their sides are proportional, that is, they have equal ratios. So

The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is 25 cm.

So

`(15)/(10) = (l)/(25)`

`10l = 25*15`

Simplifying by 10.

`l = 2.5*15 = 37.5`

Its length is 37.5 cm.