Question

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

Explanation:

Step1: Write the formula for the area of a triangle

The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base \(b = \frac{4}{5}\) m and the height \(h=\frac{3}{4}\) m.

Step2: Substitute the values into the formula

Substitute \(b = \frac{4}{5}\) and \(h=\frac{3}{4}\) into \(A=\frac{1}{2}\times b\times h\). So \(A=\frac{1}{2}\times\frac{4}{5}\times\frac{3}{4}\).

Step3: Simplify the expression

First, multiply \(\frac{4}{5}\times\frac{3}{4}=\frac{4\times3}{5\times4}=\frac{3}{5}\) (the 4s cancel out). Then \(A=\frac{1}{2}\times\frac{3}{5}\). Using the rule for multiplying fractions \(\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}\), we get \(A=\frac{1\times3}{2\times5}=\frac{3}{10}\).

Answer:

\(\frac{3}{10}\) square meters