The length of a rectangle is 4cm more than twice it's width .The perimeter of the is 40cm . Formulate an equation to determine the dimensions of the rectangle
Mathematics
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Step-by-step solution
4 stepsDefine variables for the dimensions of the rectangle.
Let be the width of the rectangle in cm.
Let be the length of the rectangle in cm.Express the length in terms of the width using the given information.
"The length of a rectangle is 4cm more than twice its width."
Write the formula for the perimeter of a rectangle and substitute the given perimeter.
The perimeter of a rectangle is given by .
We are given that the perimeter is 40 cm.Substitute the expression for from Step 2 into the perimeter equation from Step 3 and simplify.
This is the equation to determine the dimensions of the rectangle.
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