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Kipish [7]
3 years ago
9

Need help please answering this problem!!

Mathematics
1 answer:
Paul [167]3 years ago
7 0
NR = NS + SR = 18 + 45 = 63 m

If NPS~NQR then we can find QR:
\frac{PS}{QR}= \frac{NS}{NR} \ \to \    \frac{7.2}{QR}= \frac{18}{63} \ \to \    \\ QR= \frac{63*7.2}{18}= 25.2 \ m

\text{Area}_{PQRS} = \text{Area}_{NQR}-\text{Area}_{NPS}    \\  \\ \text{Area}_{NQR}= \frac{NR*QR}{2} = \frac{63*25.2}{2}= 793.8 \ m^2 \\  \\ \text{Area}_{NPS}= \frac{NS*PS}{2} = \frac{18*7.2}{2}= 64.8 \ m^2  \\  \\ \text{Area}_{PQRS} =793.8 - 64.8 = 729 \ m^2

Answer: C.
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