The perimeter of the rectangle is 96 m, and it is 8 times larger than one of the sides

| April 26, 2021 | education

The perimeter of the rectangle is 96 m, and it is 8 times larger than one of the sides of the rectangle. find the area of the rectangle?

To find the area of a rectangle, you need to calculate the length of its sides. Let’s denote the sides of the rectangle a and b. Knowing that the perimeter of the rectangle is 8 times larger than one of the sides (suppose side a), we find the value of a:
1) a = 96: 8 = 12 m
The perimeter is the sum of the lengths of all sides of the shape. A rectangle has 4 sides, the opposite sides are equal. Knowing this, we find the value of b:
2) 96 = 2 * 12 + 2 * b
2b = 96-24
2b = 72
b = 36 m
The area of a rectangle is found as the product of its sides. We calculate the area:
3) S = 12 * 36 = 432 m2
Answer: The area of the rectangle is 432 m2.



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