Question

Please help me ASAP!!!!

Answer 1

`34 {units}^(2)`

Step-by-step explanation

The width of the rectangle is |AB|

A(-1,4) and B(3,3)

We use the distance formula,

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

This implies that,.

`d = \sqrt{ {(3- - 1)}^(2) + {(3 - 4)}^(2) }`

`d = \sqrt{ {(4)}^(2) + {( - 1)}^(2) }`

`d = √( 16+ 1 )`

`d = √(17)`

The length is BC

C(1,-5) and B(3,3)

`d = \sqrt{ {(3- 1)}^(2) + {(3 - - 5)}^(2) }`

`d = \sqrt{ {2}^(2) + {(8)}^(2) }`

`d = √(4 + 64 )`

`d = √(68)`

`d = 2 √(17)`

The area is

`= l * w`

`= 2 √(17) * √(17)`

`2 * 17 = 34 {units}^(2)`