Question

What is the area, in square feet, of the shape below? Express your answer as afraction in simplest form.

Answer 1

Answer: 1/20 sq. ft.

The formula for the Area of a Triangle is:

$A=\frac{1}{2}bh$

Where:

A is the Area

b = base

h = height

From the given figure, we know that:

b = 1/2 ft

h = 1/5 ft

Substitute these values to the equation to solve for the Area

$A=\frac{1}{2}bh$$A=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{5}$

*In multiplying fractions, we multiply all the numerators together, and we multiply the denominators together

$\begin{gathered} A=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{5} \\ A=\frac{1\times1\times1}{2\times2\times5} \\ A=\frac{1}{20}ft^2 \end{gathered}$

Therefore, the area of the given shape is 1/20 sq. ft.