The sum of areas of two squares with sides 4a and 4b is _______.

Question

Fill in the blanks to make the statement true:

The sum of areas of two squares with sides 4a and 4b is _______.

Answer 1

16(a² + b²)

Given:- side of first square = 4a

⇒ Area of first square = (side)²

= (4a)²

= 16a²

side of second square = 4b

⇒ Area of second square = (side)²

= (4b)²

= 16b²

Sum of areas of the two squares = 16a² + 16b²

= 16(a² + b²)