Question

The area of a parallelogram and a square are the same. If the perimeter of the square is 100 m and the height of the parallelogram is 15 m, find the length of the corresponding base of the parallelogram

Answer 1

Answer:

The Base of Parallelogram is 41.66m

Step-by-step Explanation :

Given : The area of a parallelogram and a square are the same,

Perimeter of Square = 100m,

Height of Parallelogram = 15m

To find : Base of the parallelogram = ?

We know that,

Perimeter of square = 4 × side

Substituting the given value in above formula we get,

100 = 4 x side

Side = 100/4 = 25m.

So, According to given conditions,

Area of square = Area of parallelogram

So we can say that,

(Side)² = Height × Base -------------(1)

Substituting the value in above equation we get

(25)² = 15 × base

625 = 15 × base

625/15 = base

41.66 m = base

Hence the Base of Parallelogram is 41.66m