The width of the rectangle is 70 cm, and the length is 4 times greater. The perimeter of the rectangle

| August 10, 2021 | education

The width of the rectangle is 70 cm, and the length is 4 times greater. The perimeter of the rectangle is equal to the perimeter of the square. A) find the area of the rectangle. B) find the area of the square. C) the area of which of the figures is smaller

1. Determine how many centimeters the length of the rectangle is:

70 x 4 = 280 cm;

2. Determine the area of the rectangle:

280 x 70 = 19600 cm ^ 2;

3. Determine the perimeter of the rectangle:

(70 + 280) x 2 = 700 cm;

4. Since the perimeter of the square is equal to the perimeter of the rectangle, we determine the size of the side of the square:

700: 4 = 175 cm;

5. Determine the area of the square:

175 x 175 = 30625 cm ^ 2;

Answer: the area of the rectangle is 19600 cm ^ 2, and the area of the square is 30625 cm ^ 2, respectively, the area of the rectangle is less than the area of the square.



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