In the given figure, WXYZ is a parallelogram. If ∠XAY (angle XAY) = 90°, AY = 8 cm and the area of parallelogram WXYZ is 64 sq. cm, find the length of AX.
1 Answer
Solution:
Given,
angle XAY (∠XAY ) = 90°,
AY = 8cm
and Area of parallelogram WXYZ = 64cm2
To find,
The length of AX = ?
Here,
Area of triangle ΔAXY = 1/2 area of parallelogram WXYZ [ ∵ Both are standing on same base between the same parallel lines.]
Or, Area of ΔAXY = 1/2 x 64 cm2
Or, Area of ΔAXY = 32 cm2
Now using formula,
Area of ΔAXY = 1/2 x base x height
Or, 32 = 1/2 x AX x AY
Or, 32 = 1/2 x AX x 8
Or, AX = 32/4 = 8 cm
∴ The length of AX = 8 cm.
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