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What are the dimensions of a rectangle that has an area of 600 square cm and a perimeter of 1 m showing work?
Wiki User
∙ 10y ago
I suggest that you do the following:
* Convert the meters to centimeters, to have compatible units.
* Write the equation for the area of the rectangle. Replace the variable "a" (area) with the known area.
* Write the equation for the perimeter of a rectangle. Replace the variable for the perimeter with the known perimeter (in cm).
* Use any method to solve the simultaneous equations.
Another Answer:-
Let the dimensions be x and y
If: 2x+2y = 100 then x+y = 50 and x = 50-y
If: xy = 600 then (50-y)y = 600 and so 50y-y2-600 = 0
Solving the quadratic equation: y = 20 or y = 30
Therefore by substitution the dimensions are: when y = 20 cm then x = 30 cm
Wiki User
∙ 10y ago
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