Question 1127813
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This is fairly easy to solve without formal algebra.<br>
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.<br>
The original area is 96 square inches; the new area is 96+69 = 165 square inches.<br>
Do some easy mental calculations to find two numbers whose difference is 4 and whose product is 165; the answer is 15 and 11.<br>
So each dimension was increased by 3 inches.<br>
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:<br>
{{{(8+x)(12+x)-8*12 = 69}}}<br>
I'll let you finish the algebraic solution....