Math
posted by Sammi .
The perimeter of a rectangle is 74 centimeters. The width is doubled and the length is halved. The new rectangle has a perimeter of 76 centimeters. Find the dimensions.
Okay, so in class we're learning about Systems of Equations. What are the equations for this? How do I define the variables?

Math 
PsyDAG
2W + 2L = perimeter = 74
2W = 74 2L
2(2W) + 2(L/2) = 76
Substitute 74  2L for 2W in the last equation and solve for L. Put that value in the first equation to find W. Check by putting both values into the last equation.
Respond to this Question
Similar Questions

Math
The length of a rectangle is 14 centimeters less than twice its width. The perimeter of the rectangle is 62cm. What are the dimensions of the rectangle? 
Geometry
The perimeter of a rectangle is 76 feet. If the width is doubled and the length is halved, the new rectangle will have a perimeter of 62 feet. Find the dimensions of the original rectangle. Define your variables. 
maths
the length of a rectangle is 3 less than 5 times its width. Write a simpified algebriac expression for the perimeter of a rectangle. If the rectangle width is tripled and its length is doubled,the perimeter of new rectangle is 92cm … 
MATH
A RECTANGLE HAS A WIDTH OF X CENTIMETERS AND A PERIMETER OF 8X CENTIMETERS. A SQUARE HAS SIDES OF LENGTH 1/4 THAT OF THE RECTANGLE A) FIND THE LENGTH OF THE RECTANGLE B) FIND THE PERIMETER OF THE SQUARE C) FIND HOW MANY CCENTIMETERS … 
math
A RECTANGLE HAS A WIDTH OF X CENTIMETERS AND A PERIMETER OF 8X CENTIMETERS. A SQUARE HAS SIDES OF LENGTH 1/4 THAT OF THE RECTANGLE A) FIND THE LENGTH OF THE RECTANGLE B) FIND THE PERIMETER OF THE SQUARE C) FIND HOW MANY CCENTIMETERS … 
math
the length of a rectangle is equal to triple the width. which system of equations can be used to find the dimensions of the rectangle if the perimeter is 85 centimeters? 
math
The length of a rectangle is twice the width. If the length is increased by 6, and the width is doubled, a new rectangle is formed whose perimeter is 20 more than the perimeter of the original rectangle. Find the dimensions of the … 
Algebra
the perimeter of a rectangle is 54 inches. two times the width of 3 centimeters more than the length. find the dimensions of the rectangle. 
prealgebra
The width of a rectangle is 30 centimeters. Find all possible values for the length of the rectangle if the perimeter is at least 768 centimeters. 
Algebra
Can you please review to see if I am on the right track with this problem: The length of a rectangle is 2 centimeters less than two times the width of the rectangle. If the perimeter of the rectangle is 98 centimeters, what is the …