# Two rectangles are similar. the dimension of the first are 2 feet x 8 feet. if the lenght of the second is 20 feet, what is its width?

We know that similar rectangles are the rectangles those are of same shape but have dissimilar sizes.

Two rectangles are similar if the measurement of their corresponding sides are in the same ratio. Therefore, we have the expression

Inserting given values in above we get

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If two rectangles are similar, their corresponding sides are proportional. Therefore, if the length of the second rectangle is 20 feet and the length of the first rectangle is 8 feet, the ratio of corresponding lengths is ( \frac{20}{8} = \frac{5}{2} ). Since the dimensions of the first rectangle are given as 2 feet by 8 feet, the width of the second rectangle can be found by multiplying the width of the first rectangle by the same ratio. Thus, the width of the second rectangle is ( 2 \times \frac{5}{2} = 5 ) feet.

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