# 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?

Jan 20, 2016

Side of the picture $= \sqrt{\frac{2}{3}} c m \approx 0.82 c m$

#### Explanation:

Let length of side of picture be $= x c m$
Area of picture (assuming it to be also a square) $= {x}^{2}$
Area of Frame $1 c {m}^{2}$, side of square frame given as $1 c m$
Given that
Area of picture$= \frac{2}{3}$ Total Area
$\implies {x}^{2} = \frac{2}{3} \times 1$
$\implies {x}^{2} = \sqrt{\frac{2}{3}}$