Ihave 120 cm of framing material to make a picture frame, which will be most pleasing to the eye if its height is 2/3 of its width. what dimensions should i use?

The formula for perimeter is:

P = 2 h +  2 w

where P is perimeter = 120 cm, h is height, w is width

we are also given that: h = (2/3) w, therefore:

P = 2 (2/3) w + 2 w = 120

(4/3) w + 2 w = 120

w = 36 cm

Therefore l is:

l = (2/3) w = 24 cm

Hence the dimension should be 24cm by 36 cm

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