SOLUTION: the widthof a piece is 4 metres less than is length. the air in the room is 165 m^2. find the length and breadth of this piece

Question 125683: the widthof a piece is 4 metres less than is length. the air in the room is 165 m^2. find the length and breadth of this piece
Found 2 solutions by MathLover1, checkley71:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
the width of a piece is less than is length :

the aria in the room is
find the length and breadth of this piece
given:

since , we will have:

or
.....use quadratic formula to solve for

....since this solution is a negative number, we will exclude this solution because the lenght coud be only positive number
so, the lenght is
then the width is
....plug in

check the area:

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
COMMENT: AIR ISN'T USUALLY MEASURED IN SQUARE METERS. IF YOU HAD A THIRD MEASUREMENT FOR THE HEIGHT OF THE ROOM IT WOULD MAKE MORE SENSE.
HOWEVER I'LL TRY TO ANSWER THE PROBLEM AS PRESENTED.
W=L-4
L(L-4)=165
L^2-4L-165=0
(L-15)(L+11)=0
L-15=0
L=15 ANSWER.
WIDTH=15-4=11 ANSWER.
PROOF
15*11=165
165=165

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