What is the area of the following shape?

Question

Quizplus · Accepted Answer

To solve these problems, you want to split the polygon into rectangular or square shapes so you can calculate the total area. You can section out the polygon in a few different ways, but you always want to make sure you are creating equal sides for each one (basically, make sure you start at a corner and draw a straight line across or down). For this example, here is one way you could section the polygon into three rectangles. 11ec0fb7_2754_714a_95f0_55d49df9bb4f_NR0002_00 Then, you need to determine the new measurements for the three rectangles in order to calculate their area. When you section off new rectangles or squares, the width and length of a particular side may need to change in order to reflect the new shape's measurements. This process is outlined below: 11ec0fb7_2754_714b_95f0_1dc5f1484c76_NR0002_00 11ec0fb7_2754_714c_95f0_6126f228659d_NR0002_00 Now, we have our new measurements: Rectangle 1 → length: 5 cm; width: 1 cm Rectangle 2 → length: 3 cm; width: 2 cm Rectangle 3 → length: 13 cm; width: 4 cm In order to find the total area, we add the three areas of the three rectangles together. (Remember that to find the area of a shape, you use the formula width x length = area). (5 cm • 1 cm) + (2 cm • 3 cm) + (4 cm • 13 cm) = 5 cm + 52 cm + 6 cm = 63 cm² If you arrived at the answer of 65 cm², it means that you did not determine the new dimensions of the three rectangles before finding the area and only used the original values presented in the visual.

What Is the Area of the Following Shape