The length of a rectangular birthday party invitation is 9 inch.
The length of a rectangular birthday party invitation is 1 inch less than twice its width.
Area of the invitation 15 square inches.
what is the area of the rectangle?
A=length× width
That is,the area of a rectangle is length times width.
let x be the width rectangle
width = x
length = 2x - 1
[tex]Area= 15 square inches[/tex]
Using these variables, set up the equation for area.
x(2x - 1) = 15
Solve the equation for x.
[tex]2x^{2} - x = 15[/tex]
Subtract 21 on both sides of the equation.
[tex]2x^{2} - x - 15=0[/tex]
Which method we use to factor the polynomial?
FOIL method
Factor using FOIL, if possible.
(2x +5)(x - 5) = 0
Set the factors equal to zero and solve for x.
2x = -5 and x - 5 = 0
x =- 5/2 or x = 5
x =- 2.5 or x=5
Since we cannot accept a negative value for dimensions, we accept the positive value of x:
x = 5
Therefore,
Length = 2(5) - 1
Length = 10-1
Length = 9
Therefore we get the length is 9 inch
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