Find the area of the shape.

Mathematics

2 answers:

tangare [24]3 years ago

8 0

Answer: 72

Step-by-step explanation: Here, we're asked to find the area of the given rectangular region.

In this type of problem, we want to break the rectangular region down into smaller rectangles, then add the areas of the smaller rectangles together to find the full area of the rectangular region.

Notice that we can form a smaller rectangle at the top right of the figure by simply adding a line so we have two separate rectangles.

Now, remember that the formula for the area of a rectangle is lw.

So the length of the rectangle at the top is 6 yards and the width of the rectangle is 3 yards so the area is (6 yd.)(3 yd.) or 18 square yards.

Now, we need to find the area of the bigger rectangle.

We are given that the width is 9 yards but what is the length?

We can see from the given horizontal lengths on the top of the figure that the length is 12 for the whole top which means that the bigger one must be 6.

So we have (6 yd.)(9 yd.) which is 54 square yards.

Now adding, 18 + 54 is 72.

So the area is 72 square yards.