Question

what is the area?
write your answer as a fraction or as a whole or mixed number.
image of a triangle with height 10 ft and base 9 1/4 ft
blank square feet
submit
work it out
not feeling ready yet? these can help:

Explanation:

Step1: Recall triangle area formula

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$.

Step2: Identify base and height

The base of the triangle is $9\frac{3}{4}\text{ ft}$ and the height is $10\text{ ft}$. First, convert the mixed number $9\frac{3}{4}$ to an improper fraction: $9\frac{3}{4}=\frac{9\times4 + 3}{4}=\frac{39}{4}$.

Step3: Calculate the area

Substitute the base and height into the formula: $A=\frac{1}{2}\times\frac{39}{4}\times10$. First, multiply $\frac{1}{2}$ and $10$ to get $5$. Then multiply $5$ by $\frac{39}{4}$: $5\times\frac{39}{4}=\frac{195}{4}$. Convert $\frac{195}{4}$ to a mixed number: $\frac{195}{4}=48\frac{3}{4}$.

Answer:

$48\frac{3}{4}$