Question

A window shaped like a parallelogram has an area of 23 4/5 square feet. The height of the window is 2 4/5 feet. How long is the base of the window?

Answer 1

Answer:

base = 8$\frac{1}{2}ft$

Step-by-step explanation:

The general formula for the area of a parallelogram is:

A = bh, where b = the length of the base and h = the height

Using the given values for area and height, we can solve for the missing variable of 'b':

23$\frac{4}{5}=\frac{119}{5}$

2$\frac{4}{5}=\frac{14}{5}$

$\frac{119}{5}=\frac{14}{5}h$

Multiply both sides by the reciprocal:

$(\frac{5}{14})(\frac{119}{5})=(\frac{14}{5})(\frac{5}{14})h$

$\frac{119}{14}=h$

$h=8\frac{1}{2}ft$