Question

Amare is building a rectangular fence. Originally, he plans to build an 18 ft by 14 ft fence but later decides to increase each dimension by x feet.

Which equation represents the new perimeter of the fence?


P = (18 + x ) + (14 + x )

P = (18 + 2x ) + (14 + 2x )


P = 2(18 + x ) + 2(14 + x )


P = 2(18 + 2x ) + 2(14 + 2x )

Answer 1

P = 2(18 + x ) + 2(14 + x )

Explanation:

Given,

Dimensions of the fence = 18 ft and 14 ft

Then x ft is increased in both dimensions ,

New dimensions of the fence = (18 + x)ft and (14 + x)ft

Therefore,

Perimeter of the fence = 2 ( l + b)

= 2 l + 2 b

= 2(18 + x) + 2(14 + x) (Ans)

Hence,

Option C is correct.