Question

URGENT

What is the area of trapezoid ABCD ?



Enter your answer as a decimal or whole number in the box. Do not round at any steps.

units²

Answer 1

62.5 units^2

Explanation:

Answer 2

The answer to your question is Area = 62.5 u²

Explanation:

Area =
`c (a + b)/(2)`

a and b are bases

c = heigth

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

dAD =
`\sqrt{(-1 + 13)^(2) - (5 + 11)^(2)  }`

dAD =
`\sqrt{(12)^(2) - (16)^(2)  }`

dAD =
`√(144 + 256)`

dAD =
`√(400)`

dAD = 20 u

dBC =
`\sqrt{(3 - 0)^(2) - (2 + 2)^(2)  }`

dBC =
`√(9 + 16)`

dBC =
`√(25)`

dBC = 5 u

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

dAB =
`\sqrt{(4)^(2) - (-3)^(2)  }`

dAB =
`√(16 + 9)`

dAB =
`√(25)`

dAB = 5u

Area =
`5 (20 + 5)/(2)`

Area =
`5 (25)/(2)`

Area = 5(12.5)

Area = 62.5 u²