Question

question 5 of 10 what is the area of the polygon given below? a. 296 square units b. 264 square units c. 340 square units d. 94 square units

Explanation:

Step1: Divide the polygon

Divide the polygon into two rectangles. One rectangle has dimensions \(24\times11\) and the other has dimensions \(4\times(11 - 4 - 4)\).

Step2: Calculate area of first rectangle

The area of the first rectangle \(A_1\) with length \(l_1 = 24\) and width \(w_1=11\) is \(A_1=l_1\times w_1=24\times11 = 264\) square - units.

Step3: Calculate area of second rectangle

The second rectangle has length \(l_2 = 4\) and width \(w_2=11-(4 + 4)=3\). So its area \(A_2=l_2\times w_2=4\times3 = 12\) square - units.

Step4: Calculate total area

The total area \(A\) of the polygon is \(A = A_1+A_2=264 + 32=296\) square - units.

Answer:

A. 296 square units