Question

a sail on a boat is shaped like a triangle as shown. what is the area of the sail? show your work. 7.4 square meters 14.8 square meters 8.14 square meters 16 square meters

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

From the problem, the base \(b = 4\) m and the height \(h=3.7\) m.

Step3: Substitute values into the formula

Substitute \(b = 4\) and \(h = 3.7\) into \(A=\frac{1}{2}\times b\times h\). So \(A=\frac{1}{2}\times4\times3.7\).
First, calculate \(4\times3.7 = 14.8\). Then, \(\frac{1}{2}\times14.8=7.4\).

Answer:

7.4 square meters