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 th

Question

3 years ago

12

e deck?

1 answer:

Reptile [31] · Answer 1 · 2022-02-27T08:08:46+03:00

The width of deck= x = 7 feet when perimeter is 48 feet and length is 17 feet

Step-by-step explanation:

Let width of rectangle = x

Let length of rectangle =3+2x

Perimeter of Rectangle = 48 feet

Width of rectangle = ?

The formula of perimeter is:

$perimeter= 2(L+W)$

Putting values of perimeter, length and width

$perimeter=2(L+W)\\48=2(3+2x+x)\\48=2(3+3x)\\48=6+6x\\6x=48-6\\6x=42\\x=\frac{42}{6}\\x=7$

So, the width of deck= x = 7

The length will be= 3+2x = 3+2(7) = 3+14 = 17

Keywords: perimeter of the rectangle

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