Find the area of rectangle JKLM with vertices J(−5,−2) , K(−1,−2) , L(−1,7) , and M(−5,7) .
To find the area of a rectangle with these vertices, we can use the formula for the area of a rectangle:
Area = length x width
To find the length and width, we can use the coordinates of the vertices. The length will be the difference in the x-coordinates of either JK or LM, and the width will be the difference in the y-coordinates of JK or LM.
For the length:
JK: x-coordinate of K - x-coordinate of J = -1 - (-5) = 4
LM: x-coordinate of L - x-coordinate of M = -1 - (-5) = 4
For the width:
JK: y-coordinate of K - y-coordinate of J = -2 - (-2) = 0
LM: y-coordinate of L - y-coordinate of M = 7 - 7 = 0
Since the width is 0, the area of rectangle JKLM is 0.