Question

The points N(7,-5)(7,−5), O(-2,4)(−2,4), P(-5,1)(−5,1), and Q(4,-8)(4,−8) form rectangle NOPQ. Plot the points then click the "Graph Quadrilateral" button. Then find the area of the rectangle.

Answer 1

Tthe area of the rectangle NOPQ is the amount of space on it

The area of the rectangle is 54 square units

How to determine the area of the rectangle?

The coordinates are given as:

N = (7,-5)

O = (-2,4)

P = (-5,1)

Q = (4,-8)

Calculate the lengths NO and OP using the following distance formula

$d = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2$

So, we have:

$NO = \sqrt{(7 + 2)^2 + (-5 - 4)^2$

$NO = \sqrt{162}$

$OP = \sqrt{(-2 + 5)^2 + (4 - 1)^2$

$OP = \sqrt{18}$

The area is then calculated as:

Area = NO * OP

This gives

$Area = \sqrt{162 * 18}$

Evaluate

Area = 54

Hence, the area of the rectangle is 54 square units

Read more about areas at:

https://brainly.com/question/24487155