We know that the perimeter of any shape is found by adding up the distance all the way around the shape. For a rectangle (like a picture frame) this is equal to twice the width plus twice the length:
[tex]P=2w+2l[/tex]
We can find our answer by direct substitution of known values:
[tex]P=2(83cm)+2(42cm)[/tex]
[tex]P=166cm+84cm[/tex]
[tex]P=250cm[/tex]
We can then convert to meters:
[tex]250cm * \frac{1m}{100cm} = 0.25m[/tex]
The perimeter of the picture frame is 0.25m.
