Answer:
x = 20.996 , 1.002 square inches.
Step-by-step explanation:
We assume that the sides are bent at right angles
Dimensions of the given metal sheet are
Length = 18feet = 216 inches
Width = 44 inches
When we will bend the width part of the given metal sheet
let the bent length be x
so the cross sectional dimensions will be
width = 44-2x
length = x
Area = x(44-2x)
The given are should be at most 50 square inches
so the equation becomes
x(44-2x)[tex]\leq 50[/tex]
-2x^2 + 44x [tex]\leq 50[/tex]
[tex]2x^2 -44x +50\geq 0[/tex]
[tex]x^2 -22x +25\geq 0[/tex] (dividing the equation by 2)
upon solving the above quadratic equation we get
x = 20.996 , 1.002
both the solutions are possible.
Therefore we have the are using the values of x as 20.996 and 1.002 are
42.159968 and 42.079992 which is less than 50 square inches.
