Question

What is the area of a rectangle with vertices (–1, –4), (–1, 6), (3, 6), and (3, –4)? 16 square units 24 square units 36 square units 40 square units

Answer 1

40 u

Explanation:

Answer 2

The answer to your question is Area = 40 u²

Explanation:

Data

A = (-1, -4)

B = (-1, 6)

C = (3, 6)

D = (3, - 4)

Process

1.- Plot the points to determine the base and the height (see the graph below)

2.- Calculate the distance between A and B and A and D

dAB =
`\sqrt{(-1 + 1)^(2) (-4 - 6)^(2)}`

dAB =
`\sqrt{0 - (10)^(2)}`

dAB =
`√(100)`

dAB = 10

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

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

dAD =
`√(16)`

dAD = 4

3.- Calculate the area

Area = base x height

Area = 4 x 10

Area = 40 u²