Question

what is the area of this composite shape? 18 ft 12 ft 18 ft 11 ft

Explanation:

Step1: Find area of parallelogram

The formula for the area of a parallelogram is $A = base\times height$. Here, the base is 18 ft and the height is 12 ft. So, $A_{1}=18\times12 = 216$ square - feet.

Step2: Find area of triangle

The formula for the area of a triangle is $A=\frac{1}{2}\times base\times height$. The base is 18 ft and the height is 11 ft. So, $A_{2}=\frac{1}{2}\times18\times11=9\times11 = 99$ square - feet.

Step3: Find total area of composite shape

The total area $A$ of the composite shape is the sum of the area of the parallelogram and the area of the triangle. So, $A = A_{1}+A_{2}=216 + 99=315$ square - feet.

Answer:

315 square feet