Question

Use the image to answer the question.

A coordinate plane shows a square A B C D plotted in the first quadrant. The x axis and y axis range from negative 2 to 10. A square A B C D is plotted with points A at left parenthesis 2 comma 1 right parenthesis, B at left parenthesis 2 comma 6 right parenthesis, C at left parenthesis 7 comma 6 right parenthesis, and D at left parenthesis 7 comma 1 right parenthesis. The points are connected by solid lines and the area of the square is shaded.

The Kekoa family purchased a new table for their dining room. The table is a perfect square, and they need to calculate the area of the tabletop so they can plan family dinners. Using the graph, what is the area of the table?

(1 point)
Responses

15 ft.2
15 ft. squared

20 ft.2
20 ft. squared

25 ft.2
25 ft. squared

10 ft.2
10 ft. squared
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To calculate the area of the square table, we need to find the length of one side of the square and then square it.

From the coordinates given, we can see that the side length of the square is 5 units (from point A to point B).

The area of the square is length x width = 5 x 5 = 25 ft^2.

Therefore, the area of the table is 25 ft^2.

Answer: 25 ft^2