Question

PLEASE HELP!!!! been working on for past 20 mins :(

Answer 1

Given:

Width = x

Length = x + 3

To find:

Which model and solution is correct for the given situation.

Solution:

Sum of the length and width of a rectangle is more than 15 units.

⇒ width + length > 15

`\Rightarrow x + x+ 3 >15` --------------- (1)

This model represents the situation.

Adding x:

`\Rightarrow 2x+ 3>15`

Subtract 3 on both sides.

`\Rightarrow 2x+ 3-3>15-3`

`\Rightarrow 2x >12`

Divide by 2 on both sides.

`$\Rightarrow( 2x )/(2)>( 12)/(2)`

`$\Rightarrow x>6` --------------- (2)

The correct model and solution is represents the situation is

`x+x+3>15 ; \text { solution } x>6`.