What is the area of the figure?

Question

I don't know how to do this.

Answer 1

Hi, when you see a figure like this one, check to see if you can form other shapes within it. For this one. you can draw a horizontal line across the top forming a right triangle. The base of that line should be 22 (13 + 9). You can find the height and then find the area of that triangle. Now, we can form 2 rectangles by drawing a horizontal line towards the bottom. The small rectangle has a base of 13 and a height of 4. You can use the area of a rectangle/square formula to find that area. You can calculate the area now of the rectangle in the middle.

Now, you can add up the 3 areas to find the total.

Answer 2

Bethaney I would break this down into three figures. Break it down into two rectangles and one triangle. To do that you have to use the perimeter of the other sides. The last step you wanna do is add all 3 areas together.

The height of the triangle (at the top of the figure) can be found by using one whole side and subtracting by the other.

This is (20cm +4cm) - 18cm = 6cm.

Now we find the base of the triangle: 13cm + 9cm = 22cm

Now you can find the area of this triangle using 1/2bh = Area of a triangle.

For the 1st rectangle use length x width. The length is 18cm - 4 cm = 14 cm.

The width is just 9 cm.

The last rectangle is easy just length x width = 18 cm x 13 cm

Finally, add all 3 areas up and your done.