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PQRS is a parallelogram and its area is 300 cm2. Side PQ is extended to X such that PQ = QX. If XS intersects QR at Y, then what is the area (in cm2) of triangle SYR?
- A75
- B50
- C120
- D100
Answer not set
Discussion 1
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CCommunity
Correct Answer : Option 1
Solution :
When we draw the figure of this problem, PQRS is the parallelogram and Looking at triangle SPX and YQX we can say that SP || YQ. Also we can say that 2 triangles will be equal thus triangle SPX and YQX are similar shape triangles.
Then we move on PQ = QX that means QX = 1/2 PX
= so the YQ = 1/2 SP = 1/2 RQ
So the Area of triangle SYR = 1/4 (Area of parallelogram) = 75 cm2
Solution :
When we draw the figure of this problem, PQRS is the parallelogram and Looking at triangle SPX and YQX we can say that SP || YQ. Also we can say that 2 triangles will be equal thus triangle SPX and YQX are similar shape triangles.
Then we move on PQ = QX that means QX = 1/2 PX
= so the YQ = 1/2 SP = 1/2 RQ
So the Area of triangle SYR = 1/4 (Area of parallelogram) = 75 cm2