The width of the rectangle is 5 times less than its length, and the area is 720 cm2.
September 12, 2021 | education
| The width of the rectangle is 5 times less than its length, and the area is 720 cm2. Find the width and length of this rectangle.
The area of a rectangle is the product of its width and length.
We draw up an equation in which we write the width as a cm.
We know that the length is 5 times longer, so it will be: 5 * a.
Thus, we get:
a * 5 * a = 720.
5 * a ^ 2 = 720.
a ^ 2 = 720/5 = 144.
a = 12 cm (rectangle width).
5 * a = 5 * 12 = 60 cm (rectangle length).
Checking the solution:
12 * 60 = 720 cm2
Answer:
Length 60 cm, width 12 cm.
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