In the figure, the area of the square of the square PQRS is 100cm2. If...

JAMB 1993

In the figure, the area of the square of the square PQRS is 100cm². If the ratio of the area of the square TUYS to the area of the area of the square XQVU is 1 : 16, Find YR

A. 6cm
B. 7cm
C. 8cm
D. 9cm

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Correct Answer: Option C

Explanation

Since area of square PQRS = 100cm²

each lenght = 10cm

Also TUYS : XQVU = 1 : 16

lengths are in ratio 1 : 4, hence TU : UV = 1: 4

Let TU = x

UV = 1: 4

hence TV = x + 4x = 5x = 10cm

x = 2cm

TU = 2cm

UV = 8cm

But TU = SY and UV = YR

YR = 8cm

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