Ms.wilson wishes to put a fence around a space in her yard to create a dog pen for Sonny and Hank. The space that she wants to fence in is shown below, where each unit on the graph represents one foot. How many feet of fencing will Ms. Wilson need to build the dog pen?
The dimensions are:
A. (-1,4) D. (3,4)
B. (-1,0). C. (6,0)
Can you please explain and show the dimensions?
To calculate the amount of fencing needed to enclose the space, you will need to add up the lengths of all four sides of the space.
The given space has four corners at the following points:
A. (-1, 4)
B. (-1, 0)
C. (6, 0)
D. (3, 4)
The lengths of the sides can be calculated using the distance formula, which is:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Calculating the length of each side:
AB = √(((-1) - (-1))^2 + (0 - 4)^2) = √(0^2 + 4^2) = √16 = 4 feet
BC = √((6 - (-1))^2 + (0 - 0)^2) = √(7^2 + 0^2) = √49 = 7 feet
CD = √((3 - 6)^2 + (4 - 0)^2) = √((-3)^2 + 4^2) = √(9 + 16) = √25 = 5 feet
DA = √((-1 - 3)^2 + (4 - 4)^2) = √((-4)^2) + 0^2 = √16 = 4 feet
Adding up all the sides gives:
4 + 7 + 5 + 4 = 20 feet
Therefore, Ms. Wilson will need 20 feet of fencing to build the dog pen in her yard.