Question

A rectangular sheet of metal has an area of 112 square inches. Its perimeter is 44 inches. What are the dimensions of the sheet?

(Please hurry! this and other multiple questions due tmrw!!!)

Answer 1

A) w * L = 112
B) 2w + 2L = 44
A) w = 112 / L then substituting this into B)
B) 2 * (112/L) + 2L = 44
B) 224 / L + 2L = 44
B) 224 + 2L^2 = 44L
B) 2L^2 -44L +224 = 0
L = 14
L = 8

Double Check
Width = 14  Length = 8
2*14= 28 2*8 = 16
28 + 16 = 44

14*8= 112
Correct!!!