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.

step-by-step explanation:

f

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐