Answer:
The answer is below
Step-by-step explanation:
The distance between the upper left coordinate and the upper right coordinate is the length of the rectangle. Hence:
![length=\sqrt{(4-(-1))^2+(7-7)^2} =5\ units\\](https://tex.z-dn.net/?f=length%3D%5Csqrt%7B%284-%28-1%29%29%5E2%2B%287-7%29%5E2%7D%20%3D5%5C%20units%5C%5C)
Area = length * breadth
20 = 5 * breadth
breadth = 4 units
The bottom left coordinate would have the same x coordinate as the upper left coordinate. Hence, bottom left coordinate = (-1, y₁)
The distance between the upper left coordinate and the bottom left coordinate is the breadth of the rectangle. Hence:
![breadth=\sqrt{(-1-(-1))^2+(y_1-7)^2} =4\ units\\\\ y_1-7=\pm 4\\\\y_1=4+7=11\ \ or\ y_1=-4+7=3](https://tex.z-dn.net/?f=breadth%3D%5Csqrt%7B%28-1-%28-1%29%29%5E2%2B%28y_1-7%29%5E2%7D%20%3D4%5C%20units%5C%5C%5C%5C%20y_1-7%3D%5Cpm%204%5C%5C%5C%5Cy_1%3D4%2B7%3D11%5C%20%5C%20or%5C%20y_1%3D-4%2B7%3D3)
Since it is at the bottom, hence y₁ = 3. Hence bottom left coordinate = (-1, 3)
Bottom right coordinate has same y coordinate as bottom left coordinate and same x coordinate as upper right. Hence bottom right coordinate = (4, 3)