Find the area of rectangle JKLM with vertices J(−5,−2) , K(−1,−2) , L(−1,7) , and M(−5,7) .(1 point)
units2
To find the area of the rectangle, we can use the formula for the area of a rectangle which is length * width.
First, we need to find the length and width of the rectangle:
Length = Distance between points J and K
= √[(-1 - (-5))^2 + (-2 - (-2))^2]
= √(4^2 + 0)
= √16
= 4
Width = Distance between points K and L
= √[(-1 - (-1))^2 + (7 - (-2))^2]
= √(0 + 9^2)
= √81
= 9
Now, we can calculate the area:
Area = Length * Width
= 4 * 9
= 36
So, the area of rectangle JKLM is 36 square units.