Question

8. In the figure shown below, AABC and ADEC are right triangles. The

length of DE is 6 feet, the length of AB is 20 feet, and the length of BE
is 21 feet. What is the area, in square inches, of A DEC?

Answer 1

it is 27ft
i’m not sure but here ya go

Answer 2

27
`ft^(2)`

Explanation:

`(20)/(6)` =
`(21 + x)/(x)` Cross multiple and solve for x

20x = 6(21 + x) Distribute the 6

20x = 126 + 6x Subtract 6x from both sides

14x = 126 Divide both sides by 14

x = 9

Now that we know EC is 9 we can calculator the area of the triangle

a =
`(lw)/(2)`

a =
`((9)(6))/(2)`

a =
`(54)/(2)`

a = 27