Question

what is the area?
write your answer as a fraction or as a whole or mixed number.
$7\frac{1}{2}$m
9 m
\boxed{} square meters
submit

Explanation:

Step1: Recall triangle area formula

The area of a right triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \). Here, the base is \( 9 \, \text{m} \) and the height is \( 7\frac{1}{2} \, \text{m} \).

Step2: Convert mixed number to improper fraction

\( 7\frac{1}{2} = \frac{7 \times 2 + 1}{2} = \frac{15}{2} \).

Step3: Substitute values into formula

\( A = \frac{1}{2} \times 9 \times \frac{15}{2} \). First, multiply \( 9 \) and \( \frac{15}{2} \): \( 9 \times \frac{15}{2} = \frac{135}{2} \). Then multiply by \( \frac{1}{2} \): \( \frac{1}{2} \times \frac{135}{2} = \frac{135}{4} \). Convert to mixed number: \( \frac{135}{4} = 33\frac{3}{4} \).

Answer:

\( 33\frac{3}{4} \)