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  ,

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

⇒ $2(x+x-8)= 56$

⇒$2(2x-8)=56$

⇒$4x-16 = 56$

⇒$4x =56+16$

⇒$4x= 72$

⇒$x= \frac{72}{4}$

⇒$x= 18 feet$

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