mathematicsssss

Question

A man has marked off an area in his yard where he will plant a garden. Find the dimensions of the rectangular area if the length is 2 feet more than twice the width and the area is 312 square feet.

The length of the rectangular area is ?

The width of the rectangular area is ?

Answer 1

L=2W + 2, W= L/2 -1

LW = 312

L(L/2 -1) = 312

L^2/2 - L = 312

L^2 -2L = 624

L^2 -2L + 1 = 624+1

(L-1)^2 = 25^2

L-1 = 25

L = 26 feet long

W = L/2 -1 = 12 feet wide

26 x 12 = 312