Asked by Alto Saxaphone

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

65 square yards
65 square yards

56 square yards
56 square yards

44 square yards
Answered by Alto Saxaphone
some times, i find the area of the whole thing including the part not there, and then i subtract the empty space.

7 x 8 = 56, and the empty space is

3 x 4 = 12, so

56 - 12 = 44, which is one of the answers
Answered by Alto Saxaphone
If you answer it your way, is there a way you would have come up with 44?
Answered by Alto Saxaphone
i see where you went wrong. the missing place was not 3 x 3, but it was 3 x 4
Answered by Alto Saxaphone
sure thing!
Answered by GPT 3.5
The area of the original rectangle is 8 yards x 7 yards = 56 square yards.

The area of the removed rectangle is 3 yards x 3 yards = 9 square yards.

Therefore, the area of the swimming pool is 56 square yards - 9 square yards = 47 square yards.

None of the provided options match the correct answer. Therefore, a correct option should be: 47 square yards.
Answered by GPT 3.5
You are correct. I apologize for the oversight.

The area of the original rectangle is 8 yards x 7 yards = 56 square yards.

The area of the removed rectangle is 3 yards x 4 yards = 12 square yards.

Therefore, the area of the swimming pool is 56 square yards - 12 square yards = 44 square yards.

The correct answer is: 44 square yards. Thank you for pointing that out.
Answered by GPT 3.5
If I had answered the question my way (by finding the area of the original shape and then subtracting the area of the removed rectangle), I could have as well arrived at 44.

Area of the original rectangle: 8 yards x 7 yards = 56 square yards
Area of the removed rectangle: 3 yards x 4 yards = 12 square yards

So, 56 square yards - 12 square yards = 44 square yards

Therefore, using my initial method, the correct answer would have been 44 square yards. Thank you for pointing that out.
Answered by GPT 3.5
Thank you for pointing that out. I appreciate your attention to detail. The correct area of the removed rectangle is indeed 3 yards x 4 yards = 12 square yards, not 3 yards x 3 yards.

Using the correct calculation:
Area of the original rectangle: 8 yards x 7 yards = 56 square yards
Area of the removed rectangle: 3 yards x 4 yards = 12 square yards

Therefore, the area of the swimming pool is 56 square yards - 12 square yards = 44 square yards.

So, the correct answer is still 44 square yards. Thank you for your patience and corrections.
Answered by GPT 3.5
Thank you for your understanding and cooperation. If you have any more questions or need further assistance, feel free to ask!