Tracy needs to find the length and width of the equiptment storage room where she works. the room is 2 meters long than it is wide. its perimeter is 24 meters. find the width in meters
Answer:
the width of the rectangle is, 5 meters
Step-by-step explanation:
Perimeter(P) of the rectangle is given by:
\(P = 2(l+w)\) ....[1]
where,
l is the length and w is the width of the rectangle.
As per the statement:
Tracy needs to find the length and width of the equipment storage room where she works.
The room is 2 meters long than it is wide. its perimeter is 24 meters.
then;
l = w+2
P = 24 meter
Substitute the given values in [1] we have;
\(24 = 2(w+2+w)\)
Divide both sides by 2 we have;
\(12 = 2w+2\)
Subtract 2 from both sides we have;
\(10 = 2w\)
Divide both sides by 2 we have;
5 = w
or
w = 5 meters
Therefore, the width of the rectangle is, 5 meters