_______ is area of following pentagon PQRST in which, PR=24m, PN=18m, PO=10m, QM=5m, SN=9m, TO=7m.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

171 m²

181 m²

186 m²

191 m²

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$\begin{array}{rcl} A r e a o f p e n t a g o n P Q R S T \\ = & A r e a o f ∆ P Q R + A r e a o f ∆ S N R \\ + A r e a o f q u a d T O N S + A r e a o f ∆ T O P \\ = & (\frac{1}{2} \times P R \times Q M) + (\frac{1}{2} \times N R \times S N) \\ + \frac{1}{2} \times (S N + T O) \times O N + (\frac{1}{2} \times P O \times T O) \\ = & (\frac{1}{2} \times 24 \times 5) + (\frac{1}{2} \times 6 \times 9) \\ + \frac{1}{2} \times (9 + 7) \times 8 + (\frac{1}{2} \times 10 \times 7) \\ = & 60 m^{2} + 27 m^{2} + 64 m^{2} + 35 m^{2} \\ = & 186 m^{2} \end{array}$