Apicture frame has a perimeter of 100 cm. its width is 4 cm less than twice its length. what is the width of the picture frame?

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

c is the answer

step-by-step explanation: