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.

hint - the answer is 41⅔m
I want the explanation
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Answer 1

Answer:

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.

Step-by-step explanation:

Answer in image

Answer 2

Explanation:

Perimeter of Square = 4 x side

Perimeter = 100 m (given)
100 = 4 x side
100/4 = side
Side of square = 25 m

Now let’s find area,
Area of square = side x side
Area = 25 x 25
Area of square = 625 m square

Since, area of square and parallelogram are same,

Area of parallelogram = 625
Area of parallelogram = base x height

Base x height = 625
Base x 15 = 625
Base = 625/15
Base = 41.66….. m