Find the area of the composite figure.

6yd 5yd 21yd 16yd 7yd 7yd

Area=

1 answer

To find the area of the composite figure, we need to break it down into simpler shapes.

First, we can see that the figure is made up of two rectangles:

One rectangle has dimensions 6 yd x 5 yd, so its area is 6 yd x 5 yd = 30 sq yd.

The other rectangle has dimensions 21 yd x 16 yd, so its area is 21 yd x 16 yd = 336 sq yd.

Next, we can see that there are two right triangles on the sides of the figure:

Each triangle has base 7 yd and height 16 yd, so their areas are 1/2 x 7 yd x 16 yd = 56 sq yd each.

Finally, we notice that there is a small rectangle in the middle of the figure:

This rectangle has dimensions 16 yd x 5 yd, so its area is 16 yd x 5 yd = 80 sq yd.

To find the total area of the composite figure, we add up the areas of all the shapes:

30 + 336 + 56 + 56 + 80 = 558

Therefore, the area of the composite figure is 558 sq yd.