Question

Find the area of each of the following figure:

Answer 1

In right ΔQRP,
RP² = PQ² - QR²
= 15² - 9²
= 225 - 81
= 144
⇒ RP = 12cm
Area of ΔQRP

= `(1)/(2) xx "QR" xx "RP"`

= `(1)/(2) xx 9 xx 12`
= 54cm²
∴ Area of given figure
= Area of ΔQRP + Area of ΔRPS
= 54cm² + 108cm²
= 162cm².