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# The ratio of the width to the length of a rectangle is 4:5. lf the area of the rectangle is 500 square centimeters, what is the length of the rectangle?

The length and width of the rectangle are $25 c m \mathmr{and} 20 c m$ respectively.
Let the length and width of rectangle are $5 x \mathmr{and} 4 x$ respectively. Hence Area $= 5 x \cdot 4 x = 500 \mathmr{and} 20 {x}^{2} = 500 \mathmr{and} {x}^{2} = 25 \mathmr{and} x = \pm 5$
Length and width can not be negative so $x = 5 \therefore$The length is $5 x = 5 \cdot 5 = 25$ cm and width is $4 x = 4 \cdot 5 = 20$cm[Ans]