Question

(PLEASE HELP!) A rectangular photograph measures 24x19 cm. It is mounted on a card of size such that there is a 2 cm border all around. For the purposes of this question take the length of the photograph to be 24 cm.

If one of the borders must be 2 cm in width, determine the width of a possible length and width so that the inner and outer rectangles are similar.

Answer 1

Answer: The card is 28 cm by 23 cm

Check out the diagram below

Step-by-step explanation:

I added 4 cm to each dimension of the "24 x 19". Why 4 instead of 2? Because we're effectively adding two copies of "2 cm" to each of the original length and width. Along the horizontal component, we have the left and right boundaries. Along the vertical component, we have the top and bottom boundaries. The diagram hopefully clears up any confusion you may have.