Question

What is the area of the rectangle

Answers
60 units
66 units
70 units
74 units

Answer 1

The answer to your question is 74 u²

Explanation:

Process

1.- Find the 4 vertices

A (-2, 8)

B (0, -4)

C (4, 9)

D (6, -3)

2.- Find the length of the base and the height

`d = \sqrt{(x2 - x1)^(2) + (y2 - y1)^(2) }`

Distance AB = \sqrt{(0 + 2)^{2} + (-4 - 8)^{2} }[/tex]

dAB =
`√(4 + 144)`

dAB =
`√(148)`

Distance BD = \sqrt{(6 - 0)^{2} + (-3 + 4)^{2} }[/tex]

dBD =
`√(36 + 1)`

dBD =
`√(37)`

3.- Find the area

Area = base x height

Area =
`√(148) x √(37)`

Area =
`√(5476)`

Area = 74 u²