Question

The upper-left coordinates on a rectangle are (-1, 7), and the upper-right coordinates are (4,7). The rectangle has an area of 20 square units. Draw the rectangle on the coordinate plane below.

Answer 1

The answer is below

Explanation:

The distance between the upper left coordinate and the upper right coordinate is the length of the rectangle. Hence:

`length=√((4-(-1))^2+(7-7)^2) =5\ units\\`

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=√((-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`

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)