Two square sheets of cardboard used for making book covers differ in area by 81 square inches. An edge of the large square is 3
inches greater than an edge of the smaller square. Find the length of an edge of the smaller square.
1 answer:
Let x be the smaller sheet.
Smaller sheet = x
Larger sheet = x + 3
Area of the smaller sheet = x²
Area of the larger sheet = (x + 3)²
The difference is 81 in²
(x + 3)² - x² = 81
x² + 6x + 9 - x² = 81
6x + 9 = 81
6x = 72
x = 12 inches
Answer: The edge of the smaller square is 12 inches.
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