Question

what is the area of the polygon given below? 4 4 11 24 4 4 a. 94 square units b. 264 square units c. 296 square units d. 340 square units

Explanation:

Step1: Divide the polygon

Divide the polygon into two rectangles. One rectangle has dimensions 4 by (4 + 11+ 4) and the other has dimensions 24 by 11.

Step2: Calculate area of first rectangle

The area of the first rectangle with length $l_1=4$ and width $w_1 = 4 + 11+ 4=19$ is $A_1=l_1\times w_1=4\times19 = 76$.

Step3: Calculate area of second rectangle

The area of the second rectangle with length $l_2 = 24$ and width $w_2=11$ is $A_2=l_2\times w_2=24\times11=264$.

Step4: Calculate total area

The total area of the polygon $A = A_1+A_2=76 + 264=340$.

Answer:

D. 340 square units