Answer:
The area is 8 square inches and the perimeter is 16 square inches.
Step-by-step explanation:
First, find the area.
We can find the area of the rectangle at the bottom pretty easily. Since half of the length of the bottom rectangle measures 2 inches, the full length would be 4 inches.
4 ⨯ 1 = 4
So, the area of the bottom rectangle is 4 square inches.
For the square on top, all you have to do is multiply 2 ⨯ 2, because there is no missing length we need to find out.
2 ⨯ 2 = 4
Now, we have to add 4 + 4, because the two quadrilaterals are joined together.
4 + 4 = 8
So, the area of the shape is 8 square inches.
Now, let's find the perimeter. We already know that the bottom rectangle's length is 4 inches, and that the sides are 1 inch tall. The square is 2 inches all around, so, no problems there.
Add the side measurements, not including the 2 inches at the bottom of the square because that side is inside the big shape.
2 + 2 + 2 + 4 + 1 + 4 + 1 = 16
So, the perimeter of the shape is 16 inches.
