Ndra buys a house that needs some updates. She decides she wants to renovate her yard, so she hires a
ontractor. The contractor wants to know the dimensions of the yard so that he can begin his plans.
1) The contractor measures the length and the width of her rectangular yard. He states that the length of the
yard is twice the width. He plans to replace the fence in the yard (not including the back of the house which is
opposite of the width and the same dimension).
A. Write an expression to represent the length if x represents the width of the yard.
Length: 2x
B. Write an expression to represent the fencing needed to cover the yard
Expression for the fencing of the yard:
C. Simplify the expression
Simplified Expression for the fencing of the yard:
2) The contractor determined that the total amount of fencing needed to replace the yard is 50 yards. Use
your expression from part 1 to write an equation to solve for the length and the width of the yard. Show your
work.
Width (x) of the yard:
ft
27
Length of the Yard in terms of x:
ft