SOLUTION: Please help with this algebraic equation word problem: 1. The length of a rectangular field is 2 yards more than its width. Find the width if the area of the field is 120 yd sq

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Question 152924: Please help with this algebraic equation word problem:
1. The length of a rectangular field is 2 yards more than its width. Find the width if the area of the field is 120 yd squared.
a. Explain why the answer of a width of -12 yards is unreasonable.
b. Give a reasonable answer in its place.
c. Explain why your answer is more reasonable.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
w*L=A
L=w+2
w(w+2)=120
w^2+2w=120
w^2+2w-120=0
(w+12)(w-10)=0
w=10, w%3C%3E-12 in this problem because a field cannot have negative dimensions.
w=10 is the only answer.
.
Ed