The dimensions of a square are altered so that one dimension is increased by 7 feet and the other is decreased by 2 feet. the area of the resulting rectangle is 90 square feet. find the original area of the square

I got 64 square feet.

My work is shown in the image.

For possible questions:

1: you can find x+7 and x-2 because the sides of the square can be measured as x, and x+7 means 7 more than the original; x-2 means 2 less than the original.

2: solved via factoring. Not sure if you've learned it or not.

3: reject the negative numbers because you can't have negative sides in a square.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.