Final answer:
To draw the rectangle with provided coordinates and area on a coordinate plane, we calculate the missing side using the area formula. The length is 5 units, the width is 4 units, and after identifying all corners, we draw the rectangle.
Step-by-step explanation:
The student has provided the upper-left and upper-right coordinates of a rectangle on a coordinate plane and mentioned the rectangle's area. Since we know that the upper side of the rectangle has coordinates (-1,7) and (4,7), we can infer that the length of the rectangle is the difference in the x-values, which is 5 units (from -1 to 4). Given that the area of a rectangle is calculated by multiplying its length and width, and the area of this rectangle is 20 square units, we can find the width of the rectangle.
Area = Length × Width
20 sq. units = 5 units × Width
Width = 20 sq. units / 5 units = 4 units
Since we now know the width, we can determine that the bottom side of the rectangle will also be 4 units below the top side, given that the sides are parallel. Therefore, the lower-left coordinates of the rectangle will be (-1, 3) and the lower-right coordinates will be (4, 3). By connecting these points along with the given top coordinates, we get a rectangle on the coordinate plane