SOLUTION: A rectangular field is 4 times as long as it is wide. Let the width be x and the length will therefore be 4x. if the length is decreased by 10 in. and the width is increased by 2 i

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Question 175049: A rectangular field is 4 times as long as it is wide. Let the width be x and the length will therefore be 4x. if the length is decreased by 10 in. and the width is increased by 2 in. the perimeter will be 80 in. Find the dimensions of the original field.
Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
"If the length is decreased by 10 in." is the same as saying 4x-10, and "if the width is increased by 2 in." is the same as saying x+2. So the perimeter being 80 is equivalent to
2%284x-10%29%2B2%28x%2B2%29=80
8x-20%2B2x%2B4=80
10x-16=80
10x=96
x=9.6
So the original field was 9.6 in by 38.4 in.