Question

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.​

Answer 1

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

Answer 2

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.