Question

What is the area of the figure? Enter your answer in the box.

Answer 1

The area of the figure is 112 square inches.

Step-by-step explanation:

Step 1:

To calculate the value of the composite shape we first divide it into shapes that we know.

In this case, the composite shape consists of a triangle and a square attached below it.

If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.

Step 2:

The triangle has a base length $=10-6=4$ inches and the height is $16-10=6$ inches.

The area of the triangle $= \frac{1}{2} (b)(h) = \frac{1}{2} (4)(6) = 12.$

The area of the triangle is 12 square inches.

Step 3:

The area of a square is the square of its side length. The given square has a side length of 10 inches.

The area of the square $= a^{2} = 10^{2} = 100.$

The area of the square is 100 square inches.

Step 4:

Now we calculate the area of the entire figure by adding the areas of the triangle and the square.

Area of the figure $= 100 + 12 = 112.$

So the area of the figure is 112 square inches.