Question

Find the area of the figure

Answer 1

I would divide the shape into two different shapes, a rectangle and a trapezoid.

The rectangle would have the dimensions 5x9, for an area of 45 square inches.

To find the area of the trapezoid, we would use the area equation for trapezoids.
A=1/2(b+b)h
A=1/2(4+9)(4)
A=1/2(13)(4)
A=26 square inches


Now, to find the final answer for the area of the full shape, just add both together (26+45), for a final answer of 71 square inches.

Answer 2

Hello!

Let's split this into a rectangle, a square, and a triangle. As you can see there is a slant in the top right corner of the shape. We know the height of the polygon is 9 in. The one side length is 4, therefore the length of the slant is 5.

If we draw a vertical line down from the top tip of the slant down to the base we get a rectangle. If we draw a horizontal line from the bottom tip of the slant to the vertical line we get a triangle. Since the top base is 5 in. and the bottom is nine the base of the triangle and rectangle is 4 in.

Before we said the length of the slant was five. This means the height of the triangle is 5, therefore the area of the triangle is 10 in².

Now, to find the rectangle. It says the side length is 4, and as we previously discovered, the base was four as well, therefore it's area is 16 in. The area of the rectangle is 16 in².

Finally, the square. It's side lengths are 9 and 5, therefore it is 45 in².

Now we add up all the lengths.

45+16+10=71

Our answer is A. 71in².

I hope this helps!