Question

Two rectangles are similar. The first rectangle has a length of 21 cm and a width of 14 cm. The width of the second rectangle is 20 cm. What is its length?

Answer 1

The length of the second rectangle is 30cm

When are two rectangles said to be similar?

Two rectangles are similar when the corresponding adjacent sides have the same ratio. We do not need to check the angles as all angles in a rectangle are 90 degrees.

all rectangles are not similar rectangles. The ratio of the corresponding adjacent sides may be different.

length the length and width of first rectangle be L1 and W1 and length and width of second rectangle be L2 and W2

then the ratio of length should be equal to ratio of width since both rectangles are similar

L1/L2 = W1/W2

L1 = 21cm, W1 = 14cm, W2 = 20cm

21/L2 = 14/20

cross multiply

14L2 = 420

L2 = 420/14

L2 = 30cm

In conclusion the length of second rectangle is 30cm

Learn more about similar rectangles: brainly.com/question/17905285

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