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
44 square yards
44 square yards
56 square yards
56 square yards
30 square yards
30 square yards
65 square yards
Not an option
still not
I apologize for the oversight. Let's reassess the calculation:
Area of the original shape = 8 yards * 7 yards = 56 square yards
Area of removed rectangle = 3 yards * 3 yards = 9 square yards
Area of the swimming pool = 56 square yards - 9 square yards = 47 square yards
If the correct answer of 47 square yards is not provided among the options, then there may be an error with the choices provided. Thank you for your patience.
To find the area of the swimming pool, we need to find the area of the original shape and then subtract the area of the rectangle that was removed.
Area of original shape = 8 yards * 7 yards = 56 square yards
Area of removed rectangle = 3 yards * 3 yards = 9 square yards
Area of swimming pool = 56 square yards - 9 square yards = 47 square yards
Therefore, the correct answer is not listed among the options provided. The closest option would be 44 square yards, but the correct answer is actually 47 square yards.