the area of rectangle JKLM with vertices J(−5,−2) , K(−1,−2) , L(−1,7) , and M(−5,7) .(1 point)
To find the area of a rectangle, we can use the formula:
Area = length x width
First, we need to calculate the length and width of the rectangle. The length would be the distance between points J and K, which we can find using the distance formula:
length = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((-1 - (-5))^2 + (-2 - (-2))^2)
= sqrt(4^2 + 0^2)
= sqrt(16)
= 4
Similarly, the width would be the distance between points K and L:
width = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((-1 - (-1))^2 + (7 - (-2))^2)
= sqrt(0^2 + 9^2)
= sqrt(81)
= 9
Now, we can calculate the area:
Area = length x width
= 4 x 9
= 36
Therefore, the area of rectangle JKLM is 36 square units.