Question

A rectangle has a perimeter of 35.8 inches and a base of 12.6 inches. What is the height?

Answer 1

Height is 5.3 inches.

Explanation:

2* base + 2*height = 35.8

2*12.6 + 2h = 35.8

h = (35.8 - 2(12.6) / 2

= (35.8 - 25.2) /2

= 10.6 / 2

= 5.3 inches.

Answer 2

5.3in

Explanation:

The formula of a perimeter of a rectangle:

`P=2(l+w)`

l - length

w - width

We have

`P=35.8in\\l=12.6in`

Substitute:

`35.8=2(12.6+w)` divide both sides by 2

`(35.8)/(2)=(2(12.6+w))/(2)`

`17.9=12.6+w` subtract 12.6 from both sides

`17.9-12.6=12.6-12.6+w\\\\5.3=w\to w=5.3\ (in)`