Answered

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 :

saramarchessault

Answer:

6 feet

Step-by-step 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
  • Let width be x
  • Length=1.75x

ATQ

[tex]\\ \tt\Rrightarrow Perimeter=33[/tex]

[tex]\\ \tt\Rrightarrow 2(L+W)=33[/tex]

[tex]\\ \tt\Rrightarrow 2(x+1.75x)=33[/tex]

[tex]\\ \tt\Rrightarrow 2x+3.5x=33[/tex]

[tex]\\ \tt\Rrightarrow 5.5x=33[/tex]

[tex]\\ \tt\Rrightarrow x=\dfrac{33}{5.5}[/tex]

[tex]\\ \tt\Rrightarrow x=6[/tex]

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