Question

The upper-left coordinates on a rectangle are ( − 1 , 7 ) (−1,7)left parenthesis, minus, 1, comma, 7, right parenthesis, and the upper-right coordinates are ( 4 , 7 ) (4,7)left parenthesis, 4, comma, 7, right parenthesis. The rectangle has an area of 20 2020 square units.

Answer 1

To find the dimensions of the rectangle, we need to determine the length of the base (or width) and the length of the height.

Given the upper-left coordinates (-1, 7) and upper-right coordinates (4, 7), we can see that the base of the rectangle runs horizontally along the x-axis. Therefore, the length of the base is the difference between the x-coordinates of the upper-right and upper-left corners:

Length of base = 4 - (-1) = 4 + 1 = 5 units

Next, we can determine the height of the rectangle. Since the upper-left and upper-right corners have the same y-coordinate (7), we know that the height runs vertically along the y-axis. However, the given information does not provide the coordinates of the lower-left or lower-right corners, so we don't have enough information to determine the exact height of the rectangle.

Therefore, we cannot determine the dimensions of the rectangle with the given information.