Question

a developer is considering buying a triangular plot of land represented by the shaded figure. what is the total area of the land? 99,000 yd² 49,500 yd² 365 yd² 730 yd²

Explanation:

Step1: Recall the formula for the area of a triangle

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

Step2: Identify the base and height

Here, the base \(b = 550\) yd and the height \(h=180\) yd.

Step3: Substitute values into the formula

\(A=\frac{1}{2}\times550\times180\). First, calculate \(550\times180 = 99000\). Then, \(\frac{1}{2}\times99000=49500\) \(yd^{2}\).

Answer:

\(49,500\ yd^{2}\)