Question

The area of a parallelogram is given by the formula A=bh. The area of the parallelogram is 85 sq. Units. Find it’s base and height.

Answer 1

Answer:

the height is 5 and the base is 17.

Step-by-step explanation:

X + 1 is the height and 4x + 1 is the base, so we can substitute this into an equation:

( x + 1 ) (4x + 1) = 85

{apply the distributive law}

4x² + x + 4x + 1 =

4x² + 5x + 1 = 85

Take 85 to the other side by -85 each side:

4x² + 5x + 1 - 85 = 85 - 85

4x² + 5x - 84 = 0

{Now we have a quadratic equation}

The roots are either -5.25 or 4. X must be 4 since it must be positive as it is a side length.

Substitute x into the base and height to get the answers.

X + 1 = 4 + 1 = 5

4x + 1 = 16 + 1 = 17

Therefore the height is 5 and the base is 17.