A student drew 2 squares, one of which has sides 5 times as long as the other if the area of the smaller square is x² cm². What is the areab of the larger circle.

1 answer

The area of a square is found by squaring the length of one of its sides.

The area of the smaller square is x² cm².

Since the larger square has sides 5 times as long as the smaller square, its sides are 5x cm long.

The area of the larger square is (5x)² = 25x² cm².

Therefore, the area of the larger square is 25 times the area of the smaller square, so the area of the larger square is 25x² cm².