You are working as a carpenter in an industrial shop. A customer came to you and inquired about the size of the table which would be fitted in her room. She informed you that she had already a 1.5m x 1m table in her room but she wanted to maximize the space by adding the same amount to its length and width. She is planning to occupy a 3 square meter place on her room for her to work comfortably. What amount should be added to both sides to maximize a 3 square meter area?
We need to add the amount "x" to both sides. So, (1.5+x)(1+x) = 3, x^x+2.5x-1.5 = 0, the only appropriate solution is 0.5. The area will be (1.5+0.5)(1+0.5) = 3 That's why we should add 0.5 meter to both sides to maximize a 3 square meter area.