Rectangle ABCD has vertices point A (−5, 1) , point B (−2, 1) , point C (−2, 6) , and point D (−5, 6) . Find the area of the rectangle in square feet.
To find the area of the rectangle, we need to find the length of one of the sides and the width of the rectangle.
The length of the rectangle is the distance between points A and D, which we can find using the distance formula:
Length = √((-5 - (-5))^2 + (6 - 1)^2)
= √(0^2 + 5^2)
= √25
= 5
The width of the rectangle is the distance between points B and C, which we can also find using the distance formula:
Width = √((-2 - (-2))^2 + (6 - 1)^2)
= √(0^2 + 5^2)
= √25
= 5
Now, we can calculate the area of the rectangle by multiplying the length and width:
Area = Length x Width
= 5 x 5
= 25 square feet
Therefore, the area of the rectangle is 25 square feet.