Julianna is making a rectangular garden in her backyard. She has plotted three of the corners on the coordinate plane.
A. Find the coordinates of the last corner of the garden.
B. Determine the length and width of the garden using absolute value.
C.Julianna bought 45 feet of fencing to go around the edge of the garden. If each unit in the coordinate plane represents 1 foot, does Julianna have enough fencing for the garden? Be sure to explain your answer.
PLEASE HELP
If you sketch it out...you see the last co-ordinate must be 7 units up from the -8 since there are 7 units between -2 and 5
So the last coordinate must be (-2, -1)
Ms. Pi, thank you!!!
i need answerss i am just being introduced to this so idk how this even works so give me a answer to b and c and i will find out how u got the answer using my notebook
Ms Pi, the first 3 are (-2,-8) (5,-2) and (5,5)
To find the coordinates of the last corner of the garden, we need to understand that a rectangular garden has opposite corners with the same x-coordinate and same y-coordinate. Let's say the three plotted corners have the coordinates (x1, y1), (x2, y2), and (x3, y3).
A. To find the x-coordinate of the last corner, we need to identify the x-coordinate that is missing among the three plotted corners. We can do this by comparing the x-coordinates of the three corners. If we find two x-coordinates that are the same, then the missing x-coordinate is the other one. The same logic applies to finding the y-coordinate.
B. Once we have all four corners of the rectangle, we can determine the length and width of the garden using the absolute value. The length will be the difference between the x-coordinates of the two corners, and the width will be the difference between the y-coordinates of the two corners. By taking the absolute value, we ensure that the length and width are positive values.
C. To determine if Julianna has enough fencing for the garden, we need to calculate the perimeter of the garden. The formula for the perimeter of a rectangle is P = 2 * (length + width). After calculating the perimeter using the values obtained in part B, we can compare it to the amount of fencing Julianna bought, which is 45 feet. If the calculated perimeter is less than or equal to 45 feet, Julianna has enough fencing. If it is greater than 45 feet, she does not have enough fencing.