Question

The upper-left coordinates on a rectangle are (- 8, 8) and the upper-right coordinates are (- 3, 8) The rectangle has an area of 15 square units

Answer 1

See attachment for diagram

Explanation:

Given

`(x_1,y_1) = (-8,8)`

`(x_2,y_2) = (-3,8)`

`Area = 15`

Required

Draw the rectangle on a coordinate plane --- (missing from the question)

First, we calculate the distance between the given pairs.

`D = √((x_1 - x_2)^2 + (y_1-y_2)^2)`

`D = √((-8-(-3))^2 + (8-8)^2)`

`D = √(25)`

`D = 5`

So, the distance between the given pairs is 5 units... Let this be the length of the rectangle.

Using:

`Area = Length * Width`

`15 = 5 * Width`

`Width = (15)/(5)`

`Width = 3`

The width is 3 units.

This implies that the opposite sides of the rectangle are either 3 units down or 3 units up the given pairs.

Assume they are 3 units up.

`(x_1,y_1) = (-8,8)` and
`(x_2,y_2) = (-3,8)`

`(x_3,y_3) = (x_1,y_3 + 3) = (-8,8+3) = (-8,11)`

`(x_4,y_4) = (x_2,y_2 + 3) = (-3,8+3) = (-3,11)`