The perimeter of the triangle is 96 cm and it is eight times larger than one of the sides of the rectangle. Find the area of the rectangle.
We decide by action.
Let’s find the length of one of the sides of the rectangle using the condition of the problem:
1) 96: 8 = 12 (cm) – the length of the side of the rectangle.
We use the formula for the perimeter of a rectangle: P = 2 • (a + b). Suppose we know, for example, a = 12 cm. Small equation:
2) 96 = 2 • (12 + b);
12 + b = 96: 2;
12 + b = 48;
b = 48-12;
b = 36 (cm) – the length of the second side of the rectangle.
It remains to find its area: S = a • b.
3) S = 12 • 36 = 432 (cm2).
Answer: 432 cm2.
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