SOLUTION: A rectangular is 8 feetlong 6 feet wide. if each side increased by the same amount,x,the area ofthe new rectangle is 120 square feet. find length and width of the new rectangle

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Question 18686: A rectangular is 8 feetlong 6 feet wide. if each side increased by the same
amount,x,the area ofthe new rectangle is 120 square feet. find length and width of the new rectangle

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Start with the formula for the area of a rectangle:

The new length is (8+x) ft. and the new width is (6+x) ft. The new area is:
= 120 ft^2
Perform the indicated multiplication.
Rewite in standard form.
Solve by factoring.
Apply the zero products principle.
and/or
If , then
If , then Discard this solution as not meaningful because the new length and width cannot be negative.
The new length is: ft.
The new width is: ft.
Check:
The new area is 120 ft^2
= 120 ft.^2

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