42. A parallelogram and a square have the same area. If the sides of the
square measure 40 m and altitude of the parallelogram measures 25 m,
find the length of the corresponding base of the parallelogram.
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42. A parallelogram and a square have the same area. If the sides of the
square measure 40 m and altitude of the parallelogram measures 25 m,
find the length of the corresponding base of the parallelogram.
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Verified answer
Answer:64 meter
Step-by-step explanation:
Let the base of parallelogram be a m
According to question,
Area of parallelogram = Area of square
=> Base × Height = Side^2
=> a × 25 = 40 × 40
=> a = 8 × 8
=> a = 64
Base of parallelogram = 64 m
Step-by-step explanation:
It is given that
Area of parallelogram = Area of square
We know that
Base × altitude = side^2
By substituting the value
Base ×25=40^2
On further calculation
Base = (40×40)/25
So we get
Base = 64m
Therefore, the length of the corresponding base of the parallelogram is 64m.