Question

The area of a square is given by the formula A = $c^2$. What will be the total area of 64 such similar squares, if the side of a square is 8 ft? Express the final area with 2 as the base and some exponent.

Answer 1

Area of the square A = $c^2$

If c = 8, A = $8^2$

Area of 64 squares = 64 × $8^2$

= $2^6$ × $2^6$ = $2^{12}$ sq. ft.