.PQRS and ABRS are parallelograms and Xisany point on the side BR. Sho

1.	.PQRS and ABRS are parallelograms and Xisany point on the side BR. Show that(i) ar(PQRS)-ar(ABRSY)(ii) ar(AAXS) 2ar(PQR)S- ar
Answer» Proof: (i)Here, Parallelograms PQRS andABRS lie on the same base SR and between the same parallel lines SR and PB. ∴ ar(PQRS) = ar(ABRS) — (i) (ii) In ΔAXS and parallelogram ABRS are lying on the same base AS and betweenthe same parallel lines AS and BR. ∴ ar(ΔAXS)= 1/2 ar(ABRS) — (ii) From eq (i) and (ii), ar(ΔAXS) = 1/2 ar(PQRS)

.PQRS and ABRS are parallelograms and Xisany point on the side BR. Show that(i) ar(PQRS)-ar(ABRSY)(ii) ar(AAXS) 2ar(PQR)S- ar

Answer»

Proof:

(i)Here, Parallelograms PQRS andABRS lie on the same base SR and between the same parallel lines SR and PB.

∴ ar(PQRS) = ar(ABRS) — (i)

(ii) In ΔAXS and parallelogram ABRS are lying on the same base AS and betweenthe same parallel lines AS and BR.

∴ ar(ΔAXS)= 1/2 ar(ABRS) — (ii)

From eq (i) and (ii),

ar(ΔAXS) = 1/2 ar(PQRS)