Question

which expression represents the area of triangle abc in square meters?
1/2 × 14 × 64
1/2 × 14 × 57
1/2 × 24 × 57
1/2 × 24 × 40

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle is \( A=\frac{1}{2}\times base\times height\).

Step2: Identify the base and height of triangle \(ABC\)

In triangle \(ABC\), the base is \((20 + 37)=57\) meters and the height is \(14\) meters.

Step3: Substitute the values into the formula

Substituting the base \(b = 57\) and height \(h=14\) into the formula \(A=\frac{1}{2}\times b\times h\), we get \(A=\frac{1}{2}\times14\times57\).

Answer:

\(\frac{1}{2}\times14\times57\)