Question

what is the area of the triangle? a₂ =? ft ft² 2 ft 3 ft a₂ 6 ft a₁ = 66 ft² 3 ft 11 ft

Explanation:

Step1: Find the base of the triangle

The total length of the rectangle is 11 ft, and we know two segments: 2 ft and 3 ft. So the base of the triangle \( b = 11 - 2 - 3 = 6 \) ft.

Step2: Find the height of the triangle

The height of the triangle is the difference between the height of the rectangle (6 ft) and the 3 ft segment, so \( h = 6 - 3 = 3 \) ft.

Step3: Calculate the area of the triangle

The formula for the area of a triangle is \( A = \frac{1}{2} \times b \times h \). Substituting \( b = 6 \) ft and \( h = 3 \) ft, we get \( A_2 = \frac{1}{2} \times 6 \times 3 \).
\( A_2 = 3 \times 3 = 9 \) square feet.

Answer:

\( 9 \) square feet (or \( 9\ \text{ft}^2 \))