Use the image to answer the question.
A coordinate plane shows a rectangle A B C D plotted in the first quadrant with side A D on the x axis. The x axis and y axis range from negative 2 to 10. A rectangle A B C D is plotted with points A at left parenthesis 1 comma 0 right parenthesis, B at left parenthesis 1 comma 5 right parenthesis, C at left parenthesis 7 comma 5 right parenthesis, and D at left parenthesis 7 comma 0 right parenthesis. The points are connected by solid lines and the area of the rectangle is shaded.
A marching band is holding a fundraiser to get new carpeting in the band room. They need to calculate the area of the room so that they can purchase enough carpeting. What is the area of the band room?
(1 point)
Responses
22 ft.
22 ft.
30 ft.2
30 ft. squared
60 ft.2
60 ft. squared
11 ft.
11 ft.
Skip to navigation
To find the area of the band room, we need to calculate the area of the rectangle A B C D.
Using the coordinates given:
Point A (1, 0)
Point B (1, 5)
Point C (7, 5)
Point D (7, 0)
The length of the rectangle is the difference in x-coordinates of points A and D: 7 - 1 = 6 ft.
The width of the rectangle is the difference in y-coordinates of points A and B: 5 - 0 = 5 ft.
Therefore, the area of the band room (rectangle A B C D) is length x width = 6 ft x 5 ft = 30 ft^2.
So, the area of the band room is 30 ft^2.