Question

The plans for a rectangular deck call for the width to be 8 feet less than the length Sam wants the deck to have an overall perimeter of 56 feet

A)32
B)8
C)10
D)26

Answer 1

Answer : Breadth will be 10 feet .

Explanation :

Let length of rectangular deck be x

Let breadth of rectangular deck be x-8

Since we have given that

Perimeter = 56 feet

And we know that ,

`Perimeter = 2(L+B) = 56`

⇒
`2(x+x-8)= 56`

⇒
`2(2x-8)=56`

⇒
`4x-16 = 56`

⇒
`4x =56+16`

⇒
`4x= 72`

⇒
`x= (72)/(4)`

⇒
`x= 18 feet`

So, the breadth will be
`x-8 = 18-8 =10 feet`