At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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.


Sagot :

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]