The perimeter of a square flower bed, expressed in meters, is numerically equal to the area of the flower bed

| June 17, 2021 | education

The perimeter of a square flower bed, expressed in meters, is numerically equal to the area of the flower bed, expressed in square meters. What are the dimensions of this flower bed?

Since the flower bed is square, all sides are equal.

Let X be the side of the flower bed.

Then the perimeter of the flower bed will be 4 * X.

The area of the flower bed is X * X.

By the condition of the problem, the perimeter is equal to the area.

4 * X = X * X.

Since the flowerbed exists, the length of the X side cannot be 0.

Let us cancel both sides of the equation by X.

We get 4 = X.

Or X = 4 meters.

We do a check.

The perimeter is 4 sides * 4 meters = 16 meters.

The area is 4 meters * 4 meters = 16 meters.

16 = 16, the solution is correct.

Answer: The side of the flower bed is 4 meters, the size of the flower bed is 4 meters * 4 meters.



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