Question

what is the area, in square feet, of the shape below? express your answer as a fraction in simple 1/5 ft 4/5 ft

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 = $\frac{4}{5}$ ft, Height = $\frac{1}{5}$ ft. Substitute into formula:
$\frac{1}{2} \times \frac{4}{5} \times \frac{1}{5}$

Step3: Calculate the product

First multiply $\frac{4}{5} \times \frac{1}{5} = \frac{4}{25}$, then multiply by $\frac{1}{2}$:
$\frac{1}{2} \times \frac{4}{25} = \frac{4}{50} = \frac{2}{25}$

Answer:

$\frac{2}{25}$ square feet