The length of each side of a square is 3 inches more than the length of each side of a small square. The sum of the areas of the square is 549 inches. Find the lengths of the sides of the two squares.

Step-by-step explanation:

GIVEN: The length of each side of a square is inches more than the length of each side of a small square. The sum of the areas of the square is inches.

TO FIND: the lengths of the sides of the two squares.

SOLUTION:

let the length of side of small square be

Area of small square

As length of each side of bigger square is more than the smaller square

length of side of bigger square

Area of bigger square

Also

Sum of areas of both square

as the length of side can never be negative

length of side of smaller square

length of side of bigger square

Hence the length of smaller and bigger square are and respectively.

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316