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Rectangles R and S are similar. If the area of rectangle R is 40, what is the area of rectangle S?

Rectangles R and S are similar. If the area of rectangle R is 40, what is the area-example-1

1 Answer

4 votes

Answer:

14.4 units²

Explanation:

The ratio of Area of rectangle R to area of rectangle S = square of the length of rectangle R to square of lthe ength of rectangle S

Let the area of rectangle S be represented by x, therefore:

40 : x = 8² : 4.8²

40/x = 64/23.04

Cross multiply

x*64 = 40*23.04

64x = 921.6

x = 921.6/64

x = 14.4

Area of rectangle S = 14.4 units²

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