Question

What is the area of this rectangle?

Answer 1

The answer to your question is: 40u²

Explanation:

Data

Find the vertex

A (-4, 0)

B (-6, 4)

C (2, 8)

D (4, 4)

Formula

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

Area = base x height

Process

1.- Find the distance from A to B, and the distance from A to D

2.- Obtan the area of the rectangle

1.-

dAB =
`\sqrt{(-6 + 4)^(2) + (4 - 0)^(2) }`

dAB =
`\sqrt{2^(2) + 4^(2) }`

dAB =
`√(4 + 16)`

dAB =
`√(20)`

dAD =
`\sqrt{(4 + 4)^(2) + (4 - 0)^(2) }`

dAD =
`\sqrt{8^(2) + 4^(2) }`

dAD =
`√(64 + 16)`

dAD =
`√(80)`

2.-

Area =
`√(20) x √(80)`

Area =
`√(20x80)`

Area =
`√(1600)`

Area = 40u²