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?
To calculate the area of the band room, we need to find the length and width of the rectangle.
The length is the distance between points A and C, which is 7 units.
The width is the distance between points A and D, which is 5 units.
Now, we can find the area of the rectangle by multiplying the length and width:
Area = length x width
Area = 7 x 5
Area = 35 square units
Therefore, the area of the band room is 35 square units.