Question

elijah wants to make a pennant for his school’s football team. the pennant will be a triangle with the dimensions shown by the diagram. how many square yards of felt will the pennant be made of? enter the answer in the space provided. use numbers instead of words.

Explanation:

Step1: Recall the formula for the area of a triangle

The area of a triangle is given by \( A=\frac{1}{2}\times base\times height \). From the diagram, the base of the triangle is \( \frac{2}{5}\text{yd} \) and the height is \( 1\text{yd} \).

Step2: Substitute the values into the formula

Substitute \( base = \frac{2}{5} \) and \( height = 1 \) into the formula:
\( A=\frac{1}{2}\times\frac{2}{5}\times1 \)

Step3: Simplify the expression

First, multiply \( \frac{1}{2} \) and \( \frac{2}{5} \). The 2 in the numerator of \( \frac{2}{5} \) and the 2 in the denominator of \( \frac{1}{2} \) cancel out:
\( \frac{1}{2}\times\frac{2}{5}=\frac{1\times2}{2\times5}=\frac{1}{5} \)
Then multiply by 1 (which doesn't change the value), so \( A = \frac{1}{5} = 0.2 \) square yards.

Answer:

\( \frac{1}{5} \) (or 0.2)