# The width of the rectangle is 5/7 of its length. find the sides of the rectangle if its area is 35 dm².

January 16, 2021 | education

| Suppose the length of the rectangle is a. Then the width of the rectangle will be 5 / 7a. Thus, the area of the rectangle will be equal to 5/7 a * a, which is equal to 35 dm² by condition. We get that

a² = 7/5 * 35dm² ie.

a² = 49 dm², which means

a = 7dm – the length of the rectangle.

the width of the rectangle is 5/7a = 5/7 * 7dm = 5dm.

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