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)
feet
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To find the length of the side labeled with the question mark, we need to first find the area of the original rectangle before the rectangular area was removed.
Original rectangle:
Length = 8 feet + (2 feet) = 10 feet
Width = 3 feet
Area of original rectangle = 10 feet x 3 feet = 30 square feet
Now, to find the length of the side labeled with the question mark, we subtract the area of the rectangle that was removed from the original rectangle:
30 square feet - 8 square feet = 22 square feet
Now, we know that the total area of the supply closet is 36 square feet. To find the length of the side labeled with the question mark, we need to find the width of the remaining shape:
Area of remaining shape = Original area - Removed area
36 square feet = 22 square feet + (width of remaining shape x 8 feet)
Width of remaining shape = (36 square feet - 22 square feet) / 8 feet
Width of remaining shape = 1.75 feet
The length of the side labeled with the question mark is equal to the width of the remaining shape, which is 1.75 feet.
Ethan writes the ratio x8=y16 to help him reduce the size of a two-dimensional shape. If the new value of y is 3 units, what will be the value of x ?(1 point)
Responses
6 units
6 units
316 units
Start Fraction 3 over 16 End Fraction units
0.5 units
0.5 units
1.5 units
Area and Perimeter Unit Test
7 of 157 of 15 Items
Question
Li is a professional nature photographer. She takes a photograph of a spider web and prints a copy. The original dimensions of her copy are 6 inches by 4 inches. Li decides to advertise her business by printing smaller copies of the spider web photograph and emailing them to friends and acquaintances. Which dimensions represent a smaller scale drawing of the original printed photograph?(1 point)
Responses
1 inch by 0.5 inches
1 inch by 0.5 inches
2 inches by 1 inch
2 inches by 1 inch
12 inches by 8 inches
12 inches by 8 inches
1.5 inches by 1 inch