Question

find the area of the following
​

Answer 1

Step-by-step explanation:

Draw a straight line QM from Q perpendicular to RS.

Therefore, SM = PQ = 18m

Therefore, MR = (30-18)m = 12m

By Pythagorus Theorem,

(QR)^2 = (QM)^2 + (MR) ^2

=> (QM)^2 = (QR)^2 - (MR)^2

=> (QM)^2 = (15)^2 - (12)^2

=> (QM)^2 = 225 - 144

=> (QM)^2 = 81

=> QM = √81

=> QM = 9

Therefore, area of ∆QMR

= (1/2 × 12 × 9)m

= 54m^2

Therefore, area of rect. PQSM

= (18×9)m

= 162m^2

Therefore, total area of the figure,

= (54+162)m

= 216m^2

Ans.) The area of the given figure is 216m^2.