Question

what is the area?
write your answer as a fraction or as a whole or mixed number.
10 1/4 cm
7 cm
blank square centimeters
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, base \( b = 7\space\text{cm} \) and height \( h=10\frac{1}{4}\space\text{cm} \).

Step2: Convert mixed number to improper fraction

\( 10\frac{1}{4}=\frac{10\times4 + 1}{4}=\frac{41}{4}\space\text{cm} \).

Step3: Substitute into area formula

\( A=\frac{1}{2}\times7\times\frac{41}{4} \). First, multiply \( 7\times\frac{41}{4}=\frac{287}{4} \). Then, multiply by \( \frac{1}{2} \): \( \frac{1}{2}\times\frac{287}{4}=\frac{287}{8} \).

Step4: Convert to mixed number

\( \frac{287}{8}=35\frac{7}{8} \).

Answer:

\( 35\frac{7}{8} \)