The length of the rectangle is 9 cm longer than the side of the square, and the width is 9 cm less. Which of the figures has a larger area and by how much?
1. Let x be the length of the side of the square.
2. Then x + 9 is the length of the rectangle.
3.x – 9 – the width of the rectangle.
4. Find the area of the square.
x * x = x ^ 2.
5. Find the area of the rectangle.
(x + 9) * (x – 9) = x ^ 2 – 81
6.x ^ 2> x ^ 2 – 81 by 81
Answer: the area of the square is 81 cm2 larger than the area of the rectangle.
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