Question

area =
area =
area =

Explanation:

Step1: Recall the formula for the area of a triangle

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

Step2: Calculate the area of the first triangle (in square feet)

For the first triangle, base \( b = 9 \) ft and height \( h = 4 \) ft.
\[
A_1 = \frac{1}{2} \times 9 \times 4 = \frac{1}{2} \times 36 = 18 \text{ square feet}
\]

Step3: Calculate the area of the second triangle (in square inches)

For the second triangle, base \( b = 8 \) in and height \( h = 4 \) in.
\[
A_2 = \frac{1}{2} \times 8 \times 4 = \frac{1}{2} \times 32 = 16 \text{ square inches}
\]

Step4: Calculate the area of the third triangle (in square yards)

For the third triangle, base \( b = 15 \) yd and height \( h = 12 \) yd.
\[
A_3 = \frac{1}{2} \times 15 \times 12 = \frac{1}{2} \times 180 = 90 \text{ square yards}
\]

Answer:

First triangle area: \( 18 \) square feet
Second triangle area: \( 16 \) square inches
Third triangle area: \( 90 \) square yards