Find the perimeter of the rectangle if its area is 72 cm2 and the sides are 1: 2.
| March 15, 2021 | education
1. Area (S) of rectangle ABCD = 72 centimeters². AB / AD = 1/2. P is the perimeter of the rectangle.
2. By the condition of the problem AB: AD = 1: 2. Hence AD = 2AB.
3. S = AB x AD = 72 centimeters². We substitute 2AB instead of AD into this expression:
AB x 2AB = 72 centimeters².
AB² = 36 centimeters².
AB = 6 centimeters.
AD = AB x 2 = 6 x 2 = 12 centimeters.
4.P = 2 (AB + AD) = 2 x (6 + 12) = 36 centimeters.
Answer: P is equal to 36 centimeters.
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