Q:

The length of a rectangular deck is 3 more than 2 times the width. The perimeter of the deck is 48 feet. What is the width of the deck?

Accepted Solution

A:
The width of deck= x = 7 feet when perimeter is 48 feet and length is 17 feetStep-by-step explanation:Let width of rectangle = xLet length of rectangle =3+2xPerimeter of Rectangle = 48 feetWidth of rectangle = ?The formula of perimeter is:[tex]perimeter= 2(L+W)[/tex]Putting values of perimeter, length and width[tex]perimeter=2(L+W)\\48=2(3+2x+x)\\48=2(3+3x)\\48=6+6x\\6x=48-6\\6x=42\\x=\frac{42}{6}\\x=7[/tex]So, the width of deck= x = 7The length will be= 3+2x = 3+2(7) = 3+14 = 17Keywords: perimeter of the rectangleLearn more about perimeter of the rectangle at:brainly.com/question/8902155brainly.com/question/6594923brainly.com/question/12985572 #learnwithBrainly