# One side of the rectangle is three times the size of the other, its perimeter is 52 cm. Calculate the sides of the rectangle.

August 27, 2021 | education

| To solve this problem, you need to remember the definitions of rectangle and perimeter.

A rectangle is a quadrilateral to which the parallel sides are equal and intersect at right angles.

The perimeter is the sum of all the sides of the polygon.

It is necessary to solve this problem using multiplication. Let’s denote the unknown sides.

X – the width of the rectangle

3 * X – the length of the rectangle, according to the condition of the problem, the side is three times longer.

2 * (X + 3 * X) = 52.

2 * 4 * X = 52.

8 * X = 52.

X = 52: 8.

X = 6.5 cm.

3 * X = 6.5 * 3 = 19.5 cm.

Answer: The rectangle is 19.5 cm long and 6.5 cm wide.

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