Question

unit 3 - geometry question 25, 6.4.3 hw score: 56.9%, 33 of 58 points points: 0 of 1 find the area of the geometric figure. the area is (square) (\boldsymbol{
abla}). (simplify your answer.) the triangle in the image has a base of ( 8\frac{1}{2} ) yd and a height of 3 yd.

Explanation:

Step1: Recall triangle area formula

The area of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \).

Step2: Identify base and height

The base of the triangle is \( 8\frac{1}{2} \) yd (which is \( \frac{17}{2} \) yd) and the height is 3 yd.

Step3: Substitute into formula

Substitute the values into the formula: \( A = \frac{1}{2} \times \frac{17}{2} \times 3 \).

Step4: Calculate the area

First, multiply \( \frac{1}{2} \) and \( \frac{17}{2} \) to get \( \frac{17}{4} \), then multiply by 3: \( \frac{17}{4} \times 3 = \frac{51}{4} = 12\frac{3}{4} \) square yards.

Answer:

\( 12\frac{3}{4} \) square yards (or \( \frac{51}{4} \) square yards)