Area of Composite Figures Quick Check
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Question
Use the image to answer the question.
A composite shape is drawn with a rectangle and a square. All lines are straight and all corners are marked as right angles. The shape is made with a vertically aligned rectangle 8 yards in length and 7 yards in width. A horizontally aligned rectangle 3 yards wide and of unknown length is removed from the bottom left corner of the original rectangle. The remaining width along the bottom right is 3 yards.
Solve the following problem: A town has a swimming pool shaped as in the diagram.
What is the area of the swimming pool in square yards?
(1 point)
Responses
30 square yards
30 square yards
56 square yards
56 square yards
65 square yards
65 square yards
44 square yards
To find the area of the swimming pool, we need to find the area of the original rectangle and then subtract the area of the rectangle that was removed.
The original rectangle is 8 yards in length and 7 yards in width, so its area is 8 * 7 = 56 square yards.
The rectangle that was removed is 3 yards wide, and we don't know its length. However, we know that the remaining width along the bottom right is 3 yards. This means that the length of the removed rectangle is also 3 yards. So its area is 3 * 3 = 9 square yards.
To find the area of the swimming pool, we subtract the area of the removed rectangle from the area of the original rectangle: 56 - 9 = 47 square yards.
Therefore, the area of the swimming pool is 47 square yards.
pick from the list
There seems to be no list provided. Could you please provide the available options for me to pick from?
IN THE QUESTION
this thing sucks
Apologies for the confusion. Based on the provided options, the correct answer is:
44 square yards