Question

find the area of the triangle with the given base and height. b = 6\frac{3}{5} ft and h = 7 ft enter the correct number in the box. □ ft²

Explanation:

Step1: Convert mixed - number to improper fraction

$b = 6\frac{3}{5}=\frac{6\times5 + 3}{5}=\frac{30+3}{5}=\frac{33}{5}$ ft.

Step2: Use the triangle area formula

The area formula of a triangle is $A=\frac{1}{2}bh$. Substitute $b = \frac{33}{5}$ ft and $h = 7$ ft into the formula: $A=\frac{1}{2}\times\frac{33}{5}\times7$.

Step3: Calculate the product

$A=\frac{1\times33\times7}{2\times5}=\frac{231}{10}=23.1$ ft².

Answer:

$23.1$