Simply your answers. Type integers or decimals to rounded to the nearest hundredths as needed

Question

A rectangular sandbox is surrounded on all sides by a strip of grass that is 5 feet wide on all sides. The length of the sandbox is 2 feet more than width, and the total area for the sandbox and the grass is 190 square feet. Find the dimensions of the sandbox.

Answer 1

(L+10)(W+10) = 190

(W+2+10)(W+10) = 190

(W+12)(W+10) =190

W^2 + 22W + 120 =190

W^2 + 22W + 121 = 190-120 + 121 = 191

(W+11)^2 = 191

W+11 = sqr191

W = sqr191 - 11 = about 13.8 -11 = 2.8 feet long

L= 4.8 feet long

12.8 x 14.8 = about 189.4

dimensions are slightly more than 12.8 by 14.8 feet