PQRS is a quadrilateral in which PQ=5√2cm, QR=5√2cm, RS=8cm, SP=6cm, ∠PSR=

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PQRS is a quadrilateral in which

P Q = 5 \sqrt{2} c m

,

Q R = 5 \sqrt{2} c m

,

R S = 8 c m

,

S P = 6 c m

,

∠ P S R = ∠ P Q R = 90^{\circ}

. Then its area is

Options:

A . 40.4 cm2

B . 46.4 cm2

C . 32.4 cm2

D . 49 cm2

Answer: Option D
:
D

PQRS Is A Quadrilateral In Which PQ=5√2cm, QR=5√2cm, RS=...

Area ofright angled triangle

Δ P Q R

= \frac{1}{2} \times B a s e \times H e i g h t = \frac{1}{2} \times 5 \sqrt{2} \times 5 \sqrt{2} = 25 c m^{2}

Area of right angled triangle

Δ P S R

= \frac{1}{2} \times 8 \times 6 = 24 c m^{2}

Area of quadrilateral PQRS
= Area of

Δ P Q R + Δ P S R = 49 c m^{2}

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