Question

PQRS is a parallelogram

whose area is 180 cm² and A is any point
on the diagonal QS. The area of ASR
is 90cm. Find this statement is true or false justify
​

Answer 1

Step-by-step explanation:

ANSWER

PQRS is a parallelogram.

We know that diagonal (QS) of a parallelogram divides parallelogram into two triangles of equal area, so

∴ar(ΔQRS)=

2

1

ar(∥gmPQRS)

=

2

1

×180=90cm

2

∵ A is any point on SQ

∴ar(ΔASR)<ar(ΔQRS)

Hence, ar(ΔASR)<90cm

2

Hence, the given statement is false.

solution