Question

two rectangles are similar. The length of small rectangle is 4 and the length of the big rectangle is 12. If the perimeter of the smaller rectangle is 28, and what is the perimeter of the larger rectangle?

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

small rectangle

length = 4

perimeter = 28

big rectangle

length = 12

perimeter = ?

Step 02:

small rectangle

perimeter = 2l + 2w

28 = 2 * 4 + 2 w

28 - 8 = 2w

20 / 2 = w

10 = w

big rectangle

`(4)/(12)\text{ = }(10)/(w)`

4 w = 10 * 12

w = 120 / 4 = 30

Perimeter = 2*12 + 2*30

= 24 + 60 = 84

The answer is:

The perimeter of the big rectangle is 84.