Question

A rectangular stained glass window has a perimeter of 33 feet. The height of the window is 1.75 times its width. Find the width of the window.

Answer 1

• Let width be x
• Length=1.75x

ATQ

`\\ \tt\Rrightarrow Perimeter=33`

`\\ \tt\Rrightarrow 2(L+W)=33`

`\\ \tt\Rrightarrow 2(x+1.75x)=33`

`\\ \tt\Rrightarrow 2x+3.5x=33`

`\\ \tt\Rrightarrow 5.5x=33`

`\\ \tt\Rrightarrow x=(33)/(5.5)`

`\\ \tt\Rrightarrow x=6`

Answer 2

6 feet

Explanation:

width of the window is W

height of the window is 1.75 x W

perimeter of the window is 5.5w

33 ÷ 5.5 = 6

W = 6