The area of the rectangle is 32 cm squared, and its perimeter is 24 cm. what are the lengths of its sides?
| June 10, 2021 | education
Before you can determine the value of the sides of the rectangle, you need to find their sum.
Since the perimeter is the doubled sum of its sides, we get:
(a + b) = P / 2 = 24/2 = 12 cm.
From the resulting sum, we see that the sides cannot be equal to 16 and 2 cm, since they add up to 18.
16 + 2 = 18.
It is also obvious that the sides are not equal to 5 and 7 cm, since their product is 35 cm ^ 2, while the area is 32 cm².
5 * 7 = 35 cm².
In this case, the sides are 8 and 4 cm.
8 + 4 = 12 cm.
8 * 4 = 32 cm².
Answer: 8 cm and 4 cm.
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