Find the area of the figure

132cm²

Step-by-step explanation:

You can find the area of the entire shape by calculating the area of seperate smaller shapes.

You can split them up into 2 rectangles, one with a base of 7cm and height of 4cm, and another one with a base of 7cm and height of 8cm. You also have 2 triangles, with a base of 19cm - 7cm / 2 = 6cm since it is the entire bottom line subtracted by the top; they will have a height of 8cm each.

To calculate the rectangles areas, simply do length x width, which are:

4cm x 7cm = 28cm²

8cm x 7cm = 56cm²

Next, since the triangles are similar in measurements, instead of doing the normal calculation to find the area of a triangle, you can do base times height again, which is:

6cm x 8cm = 48cm²

Add all the answers together to get the final area, which is 132cm².

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