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Find the area of rectangle JKLM with vertices J (-5, -2), K (-1, -2), L (-1, 7) and M (-5, 7).(1 point)

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To find the area of rectangle JKLM, we first need to determine the lengths of its sides.

  1. Calculate the length of side JK: The coordinates of points J and K are:

    • J (-5, -2)
    • K (-1, -2)

    The length of side JK is the difference in the x-coordinates of points J and K: \[ \text{Length of JK} = |-1 - (-5)| = |-1 + 5| = |4| = 4 \]

  2. Calculate the length of side JL: The coordinates of points J and L are:

    • J (-5, -2)
    • L (-1, 7)

    The length of the side JL is the difference in the y-coordinates of points J and L: \[ \text{Length of JL} = |7 - (-2)| = |7 + 2| = |9| = 9 \]

  3. Calculate the area of the rectangle: The area \( A \) of a rectangle is given by the product of its length and width: \[ A = \text{Length} \times \text{Width} = 4 \times 9 = 36 \]

So, the area of rectangle JKLM is \( \boxed{36} \).