# In rectangular. the sides are 4: 3 and its perimeter is 70cm. Find the sides of the rectangle.

July 31, 2021 | education

| A rectangle is a quadrangle in which all corners are right, and opposite sides are parallel and equal to each other:

AB = CD;

BC = AD.

The perimeter of a rectangle is equal to the sum of the lengths of all its sides:

P = AB + BC + CD + AD.

Since the sides of the rectangle are 4: 3, and its perimeter is 70 cm, we express it as follows:

4x – length of sides AB and CD;

3x – the length of the sides ВС and АD;

4x + 3x + 4x + 3x = 70;

14x = 70;

x = 70/14 = 5;

AB = CD = 4 5 = 20 cm;

ВС = АD = 3 5 = 15 cm.

Answer: the sides of the rectangle are 20 cm and 15 cm.

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