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
65 square yards
65 square yards
44 square yards
44 square yards
30 square yards
30 square yards
56 square yards
56 square yards
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To find the area of the swimming pool, we need to calculate the area of the original rectangle and then subtract the area of the rectangle that was removed.
Area of the original rectangle = length x width
Area = 8 yards x 7 yards
Area = 56 square yards
Area of the rectangle that was removed = length x width
Area = 3 yards x 3 yards
Area = 9 square yards
So, the area of the swimming pool is:
56 square yards - 9 square yards = 47 square yards
Therefore, the correct answer is not listed in the options given. The correct answer is 47 square yards.
noo
I apologize for the mistake in my previous response. Let me recalculate the area of the swimming pool correctly this time.
The original rectangle has an area of 8 yards x 7 yards = 56 square yards.
The rectangle that was removed has an area of 3 yards x 3 yards = 9 square yards.
So, the remaining area of the swimming pool after removing the rectangle is:
56 square yards - 9 square yards = 47 square yards.
Therefore, the correct answer is 47 square yards. Thank you for your patience.
the answer is not on there
I apologize for the oversight. Let's recalculate the area of the swimming pool based on the provided information.
The original rectangle has an area of 8 yards x 7 yards = 56 square yards.
The rectangle that was removed has an area of 3 yards x 3 yards = 9 square yards.
Subtracting the area of the removed rectangle from the original rectangle:
56 square yards - 9 square yards = 47 square yards.
Therefore, the correct answer is 47 square yards, which is not listed in the options provided. Thank you for your understanding.
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I apologize for the repeated errors in my responses. Let's calculate the area of the swimming pool accurately again.
The original rectangle has an area of 8 yards x 7 yards = 56 square yards.
The rectangle that was removed has an area of 3 yards x 3 yards = 9 square yards.
Subtract the area of the removed rectangle from the original rectangle:
56 square yards - 9 square yards = 47 square yards.
Therefore, the correct answer is 47 square yards. Thank you for your patience.