The perimeter of a rectangle is 48 cm. Find the area of a rectangle if its width is 3 times less than its length.
| April 18, 2021 | education
Answer: the area of the rectangle is 108 cm².
The perimeter of a rectangle is the sum of the lengths of all its four sides.
Divide the value of the perimeter 48 by 4 and get the conventional value of the length of one side.
48/4 = 12 cm.
If we imagine that the length of one part of this conditional side is 6 cm, and of two 12 cm, then we add the value of one part to 12 cm and we get the length of the longer side 18 cm.In this case, the length of the smaller one will be equal to 1 part of the conditional length or 6 cm. That is the length is 18 cm, the width is 6 cm, which satisfies the conditions, since:
18/6 = 3 and
18 + 18 + 6 + 6 = 48 cm.
The area of the rectangle is equal to the product of the length and width:
18 * 6 = 108 cm².
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