Question

Polygons PQRST and VWXYZ are similar. If PQ = 5 feet, QR = 10 feet, RS = 2 feet, ST = 9 feet, TP = 4 feet, and XY = 6 feet, then what is the length of WX?

Answer 1

According to the laws of similarity

$\frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2} = \frac{d1}{d2} = \frac{e1}{e2}$

So here we have to find WX and given QR, RS and XY so,

$\frac{qr}{wx} = \frac{rs}{xy}$

$\frac{10}{x} = \frac{2}{6}$

$x = \frac{10 \times 6}{2}$

$x = 30$

So, the value of WX is 30 feet.

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