Question

find the area of the rectangle JKLM using vertices J(-5,-2) K(-1,-2) L (-1,7) AND M (-5,7)

Answer 1

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

First, we need to find the length of the rectangle JKLM. We can do this by finding the distance between points J and K, or between points L and M.

Using the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

J to K: sqrt((-1 - (-5))^2 + (-2 - (-2))^2)
= sqrt(4^2 + 0)
= sqrt(16)
= 4

So, the length of the rectangle JKLM is 4 units.

Now, we need to find the width of the rectangle JKLM. We can do this by finding the distance between points L and K, or between points M and J.

L to K: sqrt((-1 - (-1))^2 + (7 - (-2))^2)
= sqrt(0 + 9^2)
= sqrt(81)
= 9

So, the width of the rectangle JKLM is 9 units.

Now, we can calculate the area of the rectangle JKLM:

Area = length x width
= 4 x 9
= 36

Therefore, the area of the rectangle JKLM is 36 square units.