Answer:
the width of the picture frame is, 32 cm
Step-by-step explanation:
Perimeter(P) of a rectangle is given by:
where,
l is the length and w is the width of the rectangle.
As per the statement:
A picture frame has a perimeter of 100 cm.
Since, the picture frame is in the form of rectangle
⇒P = 100 cm
It is given that the width is 4 cm less than twice its length
⇒
Substitute these in [1] we have;'
Combine like terms;
Divide by 2 to both sides we have;
Add 4 to both sides we have;
54 = 3l
Divide both sides by 3 we have;
18 = l
or
Substitute this in to get w;
⇒
Therefore, the width of the picture frame is, 32 cm