What is the area of the following shape?

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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_e67e_95f0_07c9d734a8a1_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_e67f_95f0_cb91e46e3c3f_NR0002_00 11ec0fb7_2754_e680_95f0_af6f130d7513_NR0002_00 Now, we have our new measurements: Rectangle 1 → length: 15 m; width: 3.5 m Rectangle 2 → length: 25 m; width: 4 m Rectangle 3 → length: 8 m; width: 4 m 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). (15 m • 3.5 m) + (25 m • 4 m) + (8 m • 4 m) = 52.5 m + 100 m + 32 m = 184.5 m²

What Is the Area of the Following Shape