Jane is going to fence in her back yard. She has purchased 100 feet of fencing and knows that she wants to fence in a rectangular area where one side will be the back of her house. She knows her house is 30 feet across the back. Which of the following is the equation that Jane can use to figure out how far back from the house she can fence in?
30 + x + x = 100
30 + 2x =100
2x = 70
x= 35
30+2x=100
The equation that Jane can use to figure out how far back from the house she can fence in is:
x + 2y = 100
Where x represents the distance back from the house and y represents the distance on each side of the house.
To figure out how far back from the house Jane can fence in, we need to use the given information and set up an equation.
Let's assume that the length of the rectangular area along the back of the house is x feet.
Since the total length of the fencing she has is 100 feet, it will be divided between the three sides of the rectangular area: the two smaller sides and the longer side along the back of the house.
The two smaller sides will be of equal length, so each side will be x/2 feet long.
In addition, the longer side along the back of the house will be 30 feet long.
To find the equation for how far back from the house Jane can fence in, we sum up the lengths of the three sides:
x/2 + x/2 + 30 = 100
Simplifying the equation, we get:
x + 30 = 100
To isolate x (the length of the area along the back of the house), we subtract 30 from both sides:
x = 100 - 30
Therefore, the equation Jane can use to figure out how far back from the house she can fence in is:
x = 70