# Perimeter of a rectangle = 24 cm.Find its sides if they are 1: 5

October 4, 2021 | education

| 1. Vertices of the rectangle – A, B, C, D. Perimeter (P) = 24 centimeters. AB / AD = 1/5.

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

3. P = 2 (AB + AD) = 24 centimeters.

AB + AD = 12 centimeters.

4. We substitute 5АВ instead of АD in this expression:

AB + 5AB = 12 centimeters.

6AB = 12 centimeters.

AB = 2 centimeters.

AD = 5AB = 2 x 5 = 10 centimeters.

Answer: the sides of the rectangle are AB = SD = 2 centimeters. BP = BC = 10 centimeters.

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