Question -
Answer -
Given: Here from the given figure we get
(1) PQRS is a trapezium having PS||QR
(2) A is any point on PQ
(3) B is any point on SR
(4) AB||QR
(5) Area of яГДBPQ = 17 cm2
To find : Area of ╬ФASR.
Calculation:┬аWe know that┬атАШIf a triangle and a parallelogram are on thesame base and the same parallels, the area of the triangle is equal to half thearea of the parallelogramтАЩ
Here we can see that:
Area (╬ФAPB) = Area(╬ФABS) тАжтАж (1)
And, Area (╬ФAQR) = Area(╬ФABR) тАжтАж (2)
Therefore,
Area (╬ФASR) = Area(╬ФABS) + Area (╬ФABR)
From equation (1) and(2), we have,
Area (╬ФASR) = Area(╬ФAPB) + Area (╬ФAQR)
тЗТ┬аArea (╬ФASR) = Area (╬ФBPQ) = 17 cm2
Hence, the area of thetriangle ╬ФASR is 17 cm2.