Question

what is the area, in square centimeters, of the shape below? express your answer as a fraction in simplest form.
6/5 cm
4/3 cm
answer
cm²

Explanation:

Step1: Recall triangle area formula

The area of a right triangle is $\frac{1}{2} \times \text{base} \times \text{height}$

Step2: Substitute given values

Base = $\frac{4}{3}$ cm, Height = $\frac{6}{5}$ cm
Expression: $\frac{1}{2} \times \frac{4}{3} \times \frac{6}{5}$

Step3: Simplify the calculation

First multiply $\frac{4}{3} \times \frac{6}{5} = \frac{24}{15} = \frac{8}{5}$, then multiply by $\frac{1}{2}$:
Expression: $\frac{1}{2} \times \frac{8}{5} = \frac{8}{10} = \frac{4}{5}$

Answer:

$\frac{4}{5}$ cm²