Question

Plot the following points and find the area of the figure. (3,2); (-3,2); (-3,-3); (3,-3)

Answer 1

We have been given 4 points
`(3,2), (-3,2), (-3,-3), (3,-3)`. We are asked yo plot these points on coordinate plane and find the area of the figure.

Upon plotting our given points, we will get a rectangle as shown in the attached file.

We can see that the width is 5 units that is difference between y-coordinates of point
`(3,2)\text{ and }(3,-3)`.

`\text{Width}=2-(-3)=2+3=5`

We can see that the length of rectangle is 6 units that is difference between x-coordinates of point
`(-3,2)\text{ and }(3,2)`.

`\text{Length}=3-(-3)=3+3=6`

We know that area of rectangle is length times width.

`A=\text{Length}* \text{Width}`

`A=6* 5`

`A=30`

Therefore, the area of the figure would be 30 square units.