Question

Include the LET statement for the equation below:

An art dealer advises that, for the best display of a painting, the area of the frame should be 1/5 the area of the painting. Determine the best width of the frame for a painting 20-cm by 20-cm, if the width is to be the same on all sides. Round you answer to the nearest tenth.

Answer 1

let w equal the width of the frame

the frame is made up of four pieces ... 20+w long, and w wide

4 * w * (20 + w) = 20 * 20 / 5 ... 80 w + 4 w^2 = 80 ... w^2 + 20 w - 20 = 0

use the quadratic formula to find w