Question

Find the area of the rectangle LMNO , with vertices L(−5,7) , M(−1,7) , N(−1,−3) , and O(−5,−3) .

Answer 1

To find the area of the rectangle LMNO, we can use the formula for the area of a rectangle, which is length times width.

Using the coordinates of the vertices, we can determine the length and width of the rectangle.

Length LM = absolute value of x-coordinate of M - x-coordinate of L = |-1 - (-5)| = 4
Width LO = absolute value of y-coordinate of O - y-coordinate of L = |-3 - 7| = 10

Now, we can calculate the area of the rectangle:
Area = Length x Width
Area = 4 x 10
Area = 40

Therefore, the area of the rectangle LMNO is 40 square units.