Mensuration Practice Test 8

Question : 20 of 40

Marks: +1, -0

In a square PQRS, A and B are two points on PS and SR such that PA = 2AS and RB = 2BS. If PQ = 6, the area of the triangle ABQ is:

Solution:

Area of the square = 36

cm^2

Area of ΔAPQ =

1/2 × 6 × 4

12 cm^2

Area of ΔASB =

1/2 × 2 × 2

2cm^2

Area of ΔBRQ =

1/2 × 4 × 6

12 cm^2

Area of ΔABQ = 36 − (12 + 2 + 12) = 10

cm^2

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