In the figure, P and Q are the mid - points of the sides AB and BC of the rectangle ABCD.If the area of the triangle APQ is square centimetre, what is the area of the whole rectangle (in cm)?
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Answered by
36
Answer:
8 times
Step-by-step explanation:
area of triangle APQ = area of triangle ABQ - Area of triangle PBQ
=> x = (1/2)AB * BQ - (1/2)PB *BQ
BQ = BC/2
PB =AB/2
=> x = (1/2)AB*BC/2 - (1/2)(AB/2)(BC/2)
=> x = AB * BC/4 - AB * BC/8
=> x = AB * BC/8
=> AB * Bc = 8x
area of rectangle = 8* area of triangle APQ
Answered by
2
Answer:
8 times
Step-by-step explanation:
area of triangle APQ = area of triangle ABQ - Area of triangle PBQ
=> x = (1/2)AB * BQ - (1/2)PB *BQ
BQ = BC/2
PB =AB/2
=> x = (1/2)AB*BC/2 - (1/2)(AB/2)(BC/2)
=> x = AB * BC/4 - AB * BC/8
=> x = AB * BC/8
=> AB * Bc = 8x
area of rectangle = 8* area of triangle APQ
Hope you find it helpful .
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