Question

Given the segments as shown for what value of x is the figure a rectangle

A. 5.
B. 7
C. 3
D. 9

Answer 1

`x = 7`

Explanation:

Required

Determine the value of x

The diagonals of a rectangle are equal.

So:

`x + 5 + 2x -2 = 3x -9+4x - 16`

`x + 2x + 5 - 2 = 3x +4x - 9 - 16`

`3x + 3 = 7x -25`

Collect Like terms

`3x-7x=-25-3`

`-4x=-28`

`x = (-28)/(-4)`

`x = 7`