The perimeter of the rectangle is 148 dm and one of its sides is 51 dm. Find the adjacent side and area of the rectangle.

| June 23, 2021 | education

It is known that the perimeter of the rectangle is P = 148 dm, and one side is A = 51 dm.

It is necessary to calculate the length of the second side B and find the area of ​​the rectangle S.

We write down the formula for finding the perimeter of a rectangle and express B.

P = 2 * (A + B).

B = P / 2 – A.

Substitute the values ​​of P and A, find the value of B.

B = 148 dm / 2 – 51 dm.

H = 74 dm – 51 dm.

B = 23 dm.

We get that the length of the second side of the rectangle is 23 dm.

Now let’s apply the formula for determining the area of ​​a rectangle.

S = A * B.

Substitute the side values ​​and calculate.

S = 51 dm * 23 dm.

S = 1173 dm2.

As a result, we have the area of ​​the rectangle equal to 1173 dm2.

Answer: the adjacent side of the rectangle is 23 dm2, and its area is 1173 dm2.



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