Question

Show how to subdivide and recombine the parallelogram below to form a B by H rectangle thereby explaining why the area of the parallelogram is B times H.

Answer 1

Below is the proof why the area of a parallelogram is B times H

How to form a rectangle from the parallelogram

The following steps would create a rectangle from the parallelogram

• Step 1: Cut out the triangular part of the parallelogram
• Step 2: Attach the triangular part to the other end of the parallelogram

See attachment for the steps.

When the rectangle has been created, we have the following dimensions:

Length = h

Width = B

The area of a rectangle is:

Area = Length * Width

This gives

Area = h * B

Evaluate

Area = Bh

Hence, the area of a parallelogram is B times H

Read more about parallelograms at:

brainly.com/question/3050890

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