Question

A square picture is mounted in a frame 1 cm wide. The area of the picture is 2/3 of the total area. How do you find the length of a side of the picture?

Answer 1

Side of the picture `=sqrt (2/3) cmapprox 0.82cm`

Explanation:

Let length of side of picture be `=x cm`
Area of picture (assuming it to be also a square) `=x^2`
Area of Frame `1 cm^2`, side of square frame given as `1 cm`
Given that
Area of picture`=2/3` Total Area
`implies x^2=2/3 xx 1`
`implies x^2=sqrt (2/3)`