# The side of the square is 36 cm. Find the area of a rectangle whose perimeter is equal to the perimeter of the square.

January 25, 2021 | education

| Find the perimeter of the square

P = 4a = 36 * 4 = 144cm

Now remember the condition of a rectangle, which is essentially a square in which two opposite sides are the same – we take them for A and B. The perimeter of the rectangle is

P = 2 * (A + B) = 144cm (by condition)

Find the values of A and B

A + B = 144/2 = 72cm

A = 72- B

B = 72-A

Then we substitute these values into the formula for the area of a rectangle

S = A * B

S = A * (72-A)

S = 72A-A2

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