The perimeter of the rectangle is 24cm, and its sides are 1: 5, find the sides of the rectangle.

univerkov | July 29, 2021 | education

1. A, B, C, D – the vertices of the rectangle. P is the perimeter.

2. By the condition of the problem AB: AD = 1: 5. Therefore, AD = 5AB.

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

P = 2AD + 2AB = 24 centimeters.

AD + AB = 12 centimeters.

4. Substitute 5АВ instead of АD into this expression:

5AB x AB = 12 centimeters.

6AB = 12 centimeters.

AB = 2 centimeters.

AD = 2 x 5 = 10 centimeters.

Answer: AD = BC = 10 centimeters, AB = CD = 2 centimeters.

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