SOLUTION: A rectangle is 8 inches and 12 inches long. If the dimensions are increased by the same amount, thereby its area is increased by 69 square inches, by what amount is the side increa

Question 1127813: A rectangle is 8 inches and 12 inches long. If the dimensions are increased by the same amount, thereby its area is increased by 69 square inches, by what amount is the side increased?
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

This is fairly easy to solve without formal algebra.

One dimension is 4 inches more than the other; when each dimension is increased by the same amount , the difference in the dimensions will still be 4 inches.

The original area is 96 square inches; the new area is 96+69 = 165 square inches.

Do some easy mental calculations to find two numbers whose difference is 4 and whose product is 165; the answer is 15 and 11.

So each dimension was increased by 3 inches.

If you need an algebraic solution, write and solve the equation that says the difference between 8*12 and (8+x)*(12+x) is 69:

I'll let you finish the algebraic solution....
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

RELATED QUESTIONS
A rectangle is 8 inches and 12 inches long. If the dimensions are increased by the same... (answered by josgarithmetic,ikleyn)
a rectangle is 4 inches wide by 7 inches long. when the length and width are increased by (answered by checkley77)
If the opposite sides of a square are increased by 12 inches and the other two sides are... (answered by Gogonati)
Can you please help me with this one? I think it's linear. ** A rectangle has a length 5... (answered by venugopalramana)
If the length of a rectangle is decreased by 2 inches and its width is increased by 2... (answered by ankor@dixie-net.com)
a rectangle is 24 cm long and 16 cm wide. when each dimension is increased by the same... (answered by oberobic)
The length of a rectangle exceeds its width by 4 inches. find the dimensions of the... (answered by math_tutor2020)
A rectangle is twice as long as it is wide. If its length and width are each reduced by 1 (answered by amoresroy)
The perimeter of a rectangle is 20 inches and its area is 24 square inches. What are its... (answered by Fombitz)