Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
Answer:
The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.
Given :
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A knife is 3 times the cost of the spoon.
- 9 spoons and 12 knives costs £82.80.
Solution :
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This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations".
- Linear calculations that requires more than one variable can be done with the help of linear equations.
- The standard form of a linear equation in one variable is ax + b = 0.
Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.
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Therefore the cost of 1 knife = 5.52
Step-by-step explanation: 
I believe the answer is 9.8