The length of the rectangle is 14 cm. The length of the side of the square is 1 dm.

| June 11, 2021 | education

The length of the rectangle is 14 cm. The length of the side of the square is 1 dm. What is the area of the rectangle if the pyrimetres of the rectangle and the square are equal?

The perimeter of a rectangle is the sum of the length and width of the rectangle multiplied by two. The area of ​​a rectangle is equal to the product of length and width. The perimeter of a square is four times the size of one side. To answer the question of the problem, you need to know what the perimeter of the square is. The value of one side of the square is known from the problem statement.

1. Determine the perimeter of the square.

1 decimeter is equal to 10 centimeters.

10 * 4 = 40 cm.

2. Find the width of the rectangle.

(40 – 14 * 2) / 2 = (40 – 28) / 2 = 12/2 = 6 cm.

3. What is the area of ​​the rectangle?

14 * 6 = 84 cm ^ 2.

Answer: The area of ​​a rectangle is 84 square centimeters.



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