Question

An open box is made from a 40​-cm by 80​-cm piece of tin by cutting a square from each corner and folding up the edges. The area of the resulting base is 2736 cm2. What is the length of the sides of the​ squares?

Answer 1

Answer:

x=2

Step-by-step explanation:

let x be the edge length of the square removed at each corner;

Hence the area of the base is:

$A_b(80-2x)(40-2x)=2736\\\\3200-160x-80x+4x^2=2736\\\\\\4x^2-240x+3200=2736\\\\4x^2-240x+464=0\\\\x^2-60x+116=0$

Using the quadratic equation formula, or completing the square, x, or length of a side of one of the squares is x=2 or x=58

#Given that x=58 is larger than 40cm, the side length is x=2