# The sides of the rectangle are 2 to 6, and its perimeter is 32 cm. Find the area of this rectangle.

March 25, 2021 | education

| We introduce the coefficient of proportionality x and the sides of this triangle have a length of 2x cm and 6x cm.Let us use the formula for the perimeter of a rectangle and compose the equation:

P = 2 * (2x + 6x) = 32

16x = 32

x = 2.

Knowing the proportionality coefficient, we find the sides of the rectangle:

2 * 2 = 4 (cm);

2 * 6 = 12 (cm).

The sides are known, we find the area by the formula:

S = a * b = 4 * 12 = 48 (cm²).

Answer: the area of the rectangle is 48 cm².

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