Question

Part A

Which expression can be used for the missing side length of the rectangle?
8x in.
2x in.
? in.
Ο Α. αν 6
O
B. 23
C. 230
o D. 2x715
Part B
Find the length of the missing side when x = 3. Round answer to the nearest tenth.
Length =
in

Answer 1

Part 1: D

Part 2: 23.2.

Explanation:

`a^(2) \\`+
`b^(2)`=
`c^(2)`

`a^(2)`+(2
`x^(2)`)=(8
`x^(2)`)

`a^(2)`=64
`x^(2)`-4
`x^(2)`

`a^(2)`=60
`x^(2)`

`a^(2)`=
`\sqrt{60x^(2) }`

`√(4\\)`*
`√(15)`*
`\sqrt{x^(2) }`

2*
`√(15)`*x

2x
`√(15)`

2(3)
`√(15)`

6
`√(15)` (Plug into a calculator.)

23.2