Christa has a rectangular rug in her living room that is 6 feet wide and 8 feet long. She decides that the rug is too small for the room, so she orders a new one that covers twice as much area. If the new rug is 1.5 times as wide as the original rug, how long, in feet, is the new rug?

Given:

A rectangular rug in her living room that is 6 feet wide and 8 feet long.

She orders a new one that covers twice as much area.

New rug is 1.5 times as wide as the original rug.

To find:

The length of new rug.

Solution:

We have,

Length of rug = 8 feet

Width of rug = 6 feet

Area of rug is

Area of new rug is twice of area of original rug.

New rug is 1.5 times as wide as the original rug.

Width of new rug = 1.5 × 6 = 9 feet

Let the length of new rug be x feets. So, area of new rug is

Divide both sides by 9.

Therefore, the length of new rug is about 10.67 feet.

exactly you go it

step-by-step explanation:

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)