Question

12.) given that the shaded shape and figure 12.58 is a parallelogram, find an equation relating the lengths a, B, C and D. Explain why your equation must be true.

Answer 1

For this case we see that b is one side of the parallelogram and c the height and we can find the area on this way:

A= b*c

We also see that a is the other side of the parallelogram and the corresponding height is d so then the area can be expressed as:

A= a*d

And since the area is the same we can do this:

bc = ad

And this equation must be true since the area of a parallelogram is the same