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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

User Sherwin
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1 Answer

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Answer:

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)

The upper-left coordinates on a rectangle are (- 8, 8) and the upper-right coordinates-example-1
User Dly
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