Question

PLEASE HELP!! Being timed need help asap.

Answer 1

If points D, E, F and G make a rectangle with the given coordinates for each point then the area of the rectangle is 150 sq. units

How to find distance between two points?

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √((x₂ – x₁)² + (y₂ – y₁)²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

According to the given question:

The four vertices are D(-1,-3), E(-9, -9), F(-18, 3) and G(-10, 9) check the attachment below.

Distance between two points D = √((x₂ – x₁)² + (y₂ – y₁)²)

Side DE = √((-9 – (-1))² + (-9 – (-3))²) = √100 = 10 units

Side EF = √((-18 – (-9))² + (3 – (-9))²) = √225 = 15 units

Side FG = √((-10 – (-18))² + (9 – 3)²) = √100 = 10 units

Side GD = √((-1 – (-10))² + (-3 – 9)²) = √225 = 15 units

∴ Area of rectangle = l x b = DE . EF

Area = 10 x 15 = 150 sq. units

Hence the area of rectangle with the given coordinates is 150 sq. units

To learn more about distance between two points visit

brainly.com/question/24485622

#SPJ1