Find the missing height of the parallelogram described.
yd, yd,
F

Ask by Black Todd. in the United States

Mar 27,2025

Question

Find the missing height of the parallelogram described. $$ b=(x+4) $$ yd, $$ h=\square $$ yd, $$ A=(5 x+20) \mathrm{yd}^{2} $$ F

UpStudy AI · Accepted Answer

We are given the following:

- Base: $$ b = x+4 $$ yd
- Height: $$ h = \square $$ yd
- Area: $$ A = (5x+20) $$ yd$$^2$$

The area of a parallelogram is given by:
$$
A = b \cdot h
$$

Substitute the given expressions:
$$
5x+20 = (x+4) \cdot h
$$

Solve for $$ h $$ by dividing both sides by $$ x+4 $$ (note that $$ x+4 \neq 0 $$):
$$
h = \frac{5x+20}{x+4}
$$

Factor the numerator:
$$
5x+20 = 5(x+4)
$$

Now substitute back:
$$
h = \frac{5(x+4)}{x+4}
$$

Cancel the common factor $$ x+4 $$ (assuming $$ x \neq -4 $$):
$$
h = 5
$$

Thus, the missing height is:
$$
h = 5\text{ yd}
$$
The missing height of the parallelogram is 5 yards.

Find the missing height of the parallelogram described.
yd, yd,
F