the square garden has the endpoints listed below. Plot and label these points on the grid:
a. a(-7,6)
b. b(-2,06)
c. c(10,-1)
d. d(5,11)
connect the points to create square ABCD in feet
use the Pythagorean theorem to find the side length, s, of square ABCD in feet.
Area = a^2 + b^2 = c^2 where c is the side length, s.
s =_____ feet
use the formula, a = s^2, to find the area of square ABCD.
A = _____ feet
To plot the points on the grid, we'll use a standard coordinate plane and label the x-axis and y-axis accordingly.
The x-axis will range from -10 to 10, and the y-axis will range from -5 to 15.
Now we can plot the points:
a. (-7, 6)
b. (-2, 6)
c. (10, -1)
d. (5, 11)
Connecting the points creates a square ABCD.
To find the side length (s) of square ABCD, we'll use the Pythagorean theorem:
s^2 = (-7 - (-2))^2 + (6 - 6)^2
= (-5)^2 + 0^2
= 25
Therefore, s = √25 = 5 feet
To find the area of square ABCD, we'll use the formula A = s^2:
A = 5^2 = 25 square feet