Question

the roof of a building has the dimensions shown in the diagram.
90 ft.
184 ft.
160 ft.
what is the area of the roof of the building?
ft²

Explanation:

Step1: Identify the triangle type

The roof is a right - triangle (has a right - angle symbol). For a right - triangle, the area formula is $A=\frac{1}{2}\times base\times height$.
Here, the base can be 160 ft and the height can be 90 ft (or vice - versa as it is a right - triangle).

Step2: Apply the area formula

Substitute the values of base ($b = 160$ ft) and height ($h=90$ ft) into the formula $A=\frac{1}{2}\times b\times h$.
So, $A=\frac{1}{2}\times160\times90$.
First, calculate $160\times90 = 14400$.
Then, $\frac{1}{2}\times14400=7200$.

Answer:

7200