Question

what is the missing length?
16 ft
w
area = 112 $\text{ft}^2$
$w = \square$ feet
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Explanation:

Step1: Recall triangle area formula

The area of a right triangle is $A = \frac{1}{2} \times b \times h$, where $b$ is the base ($w$) and $h$ is the height (16 ft).

Step2: Substitute known values

Substitute $A=112$, $h=16$ into the formula:
$112 = \frac{1}{2} \times w \times 16$

Step3: Simplify and solve for $w$

First simplify $\frac{1}{2} \times 16 = 8$, so:
$112 = 8w$
Then divide both sides by 8:
$w = \frac{112}{8}$

Answer:

14 feet