Mathematics
Grey Kangaroo
2022
16

16

The large rectangle W XY Z is divided into seven identical rectangles, as shown. What is the ratio W X : XY?

A 3 : 2 B 4 : 3 C 8 : 5 D 12 : 7 E 7 : 3

Answer

D

SOLUTIOn

Let the longer side of each of the small rectangles be p and let the shorter side be q. From the diagram, it can be seen that 3p = 4q and hence q = 3/4 p. It can also be seen that the ratio W X : XY = 3p : p + q. This is equal to 3p : p + 3/4 p = 3p : 7/4 p = 12p : 7p = 12 : 7.

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