Elena is designing a logo in the shape of a parallelogram. She wants the logo to have an area of 12 square inches. She draws bases of different lengths and tries to compute the height for each.
1. Write an equation Elena can use to find the height, h. for each value of the base, b.
2. Use your equation to find the height of a parallelogram with base 1.5 inches.
(Please explain why the answer is whatever)

1. h = 12/b

2. h = 8 in

Step-by-step explanation:

Part 1

Use the formula for the area of a parallelogram:  

A = bh, where b- length, h - height

Since the area is constant, 12 in², the formula for the height is:  

bh = 12

h = 12/b

Part 2

If b = 1.5 in, the height is:

h = 12/1.5 = 8 in

The height is too much compared to the base, this is because the area is fixed and the height gets greater if the base gets smaller.

The height and base are inversely proportional.

Link to my question (This was the answer on that question page.):