The area of a rectangle is 75 cm, find the sides of this rectangle if one of them is 3 times larger than the other.

univerkov | February 24, 2021 | education

1. A, B, C, D – the vertices of the rectangle. S – area. AD is 3 times more than AB.

2. AD = 3AB.

3. To calculate the lengths of the sides of a rectangle, we use the formula for calculating its area:

S = AD x AB = 75 centimeters².

4. Substitute in this expression 3AB instead of AD:

3AB x AB = 75 centimeters².

3АВ² = 75 centimeters².

AB² = 25 centimeters².

AB = √25 = 5 centimeters.

AD = 5 x 3 = 15 centimeters.

Answer: the sides of the rectangle are AD = BC = 15 centimeters, AB = CD = 5 centimeters.

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