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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