Question

The area of a rectangular wall of a barn is 192 square feet. Its length is 8 feet longer than twice its width. Find the length and width of the wall of the barn.
width=
length=

Answer 1

Answer:

Let l be length and w be the width

l = 2w+12

Area = (2w+12)*w = 224

2w^2 + 12w - 224 = 0

w^2 + 6w - 112 = 0

using quadratic formula

w=[ -6 +- {36- 4*1*(-112)}^0.5]/2*1

w = [-6 +- {484}^0.5]/2

w = [-6 +- {22}]/2

w = 16/2 or -28/2

w = either 8 or -14

Width can not be a negative number

wI’d think= 8 ft

length = 2*8+12 = 28 ft

Step-by-step explanation: