Area and Perimeter Unit Test
Use the image to answer the question.
A composite shape is drawn, starting with a horizontally aligned rectangle. There is no measurement across the top, and the right side is labeled with a question mark. A horizontally aligned rectangular area marked as 8 feet in length and unknown in width is removed from the bottom left of the original rectangle. The remaining length on the right side is 2 feet. The remaining width on the left side is 3 feet. Corners are marked with right angles.
Tessa designs a supply closet as an addition to her house. The closet is pictured, and its total area is 36 square feet. What is the length in feet of the side of the supply closet labeled with the question mark?(1 point)
To find the length of the side labeled with the question mark, we need to find the remaining area of the composite shape after the rectangular area of 8 feet in length is removed.
Total area of composite shape = Area of original rectangle - Area of removed rectangle
Total area = (length of original rectangle) * (width of original rectangle) - (8) * (width of removed rectangle)
36 = (2 + width of the side labeled with the question mark) * (3)
36 = 6 + 3(width of the side labeled with the question mark)
30 = 3(width of the side labeled with the question mark)
10 = width of the side labeled with the question mark
Therefore, the length of the side labeled with the question mark is 10 feet.