Consider a rectangle ABCD of area 90 units. The points P and Q trisect AB, and R bisects CD. The diagonal AC i

Question

Consider a rectangle ABCD of area 90 units. The points P and Q trisect AB, and R bisects CD. The
diagonal AC intersects the line segments PR and QR at M and N respectively. What is the area of the quadrilateral PQNM?

Accepted Answer

> 11 and ≤ 11.5. Let us draw the figure according to the available information, In △ 	riangle △ AMP and △ 	riangle △ CMR ∠ \angle ∠ MAP = ∠ \angle ∠ MCR ∠ \angle ∠ AMP = ∠ \angle ∠ CMR Therefore, we can say that △ 	riangle △ AMP ∼ \sim ∼ △ 	riangle △ CMR Hence, we can say that A P C R = M P M R \dfrac{AP}{CR}=\d

Consider a rectangle ABCD of area 90 units. The points P and Q trisect AB, and R bisects CD. Thediagonal AC intersects the line segments PR and QR at M and N respectively. What is the area of the quadrilateral PQNM?

Consider a rectangle ABCD of area 90 units. The points P and Q trisect AB, and R bisects CD. Thediagonal AC intersects the line segments PR and QR at M and N respectively. What is the area of the quadrilateral PQNM?

Consider a rectangle ABCD of area 90 units. The points P and Q trisect AB, and R bisects CD. The
diagonal AC intersects the line segments PR and QR at M and N respectively. What is the area of the quadrilateral PQNM?

Consider a rectangle ABCD of area 90 units. The points P and Q trisect AB, and R bisects CD. The
diagonal AC intersects the line segments PR and QR at M and N respectively. What is the area of the quadrilateral PQNM?