The length of each side of a square is 5 in. more than the length of each side of a smaller square. the difference of the areas of the square is 95in.^2. find the lengths of the sides of two squares.

Area of square=side²
say side of larger square is x and side of smaller square is y

x² and y² are areas

x is 5 more than y
x=5+y

and
larger is 95 more than smaller
x²=95+y²

ok

sub 5+y for x

(5+y)²=95+y²
expand/FOIL/distribute
y²+10y+25=95+y²
minus y² from both sides
10y+25=95
minus 25 from both sides
10y=70
divide both sides by 10
y=7

sub back
x=5+y
x=5+7
x=12

the legnths are 12in and 7in