Below is a floor plan for a combined living and dining area. The owners of the home have recently adopted a puppy, so the living room needs to be re-carpeted (bad puppy). The total area for both rooms is expressed as LaTeX: 2x^2+x+3 square meters. The tile in the dining room was already replaced, so we know the area of that room is LaTeX: 2x^2-2x square meters. Find an expression for the area that needs to be re-carpeted.

Square metres.

Step-by-step explanation:

The total area of both rooms is given as: Square Metres.

Area of the Dinning Room that was already recarpeted= square meters.

Total Area=Area of Living Room+Area of Dinning Room

=Area of Living Room+

Therefore:

Area of Living Room=

Opening the brackets

=

=

=

Area that needs to be Carpeted= Square metres.

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.