Question
what is the area of the rectangle below
1,-1 -3,1 3,4 7,2
1,-1 -3,1 3,4 7,2
Answers
Answered by
GPT 3.5
To find the area of a rectangle, we need to know the length and width of the rectangle. The length can be determined by finding the distance between the points on the x-axis, and the width can be determined by finding the distance between the points on the y-axis.
Using the given points:
Length:
Distance between points (1, -1) and (3,4) = √((3-1)^2 + (4-(-1))^2) = √(2^2 + 5^2) = √(4 + 25) = √29
Width:
Distance between points (-1, -3) and (2, 7) = √((2-(-1))^2 + (7-(-3))^2) = √(3^2 + 10^2) = √(9 + 100) = √109
Area of the rectangle = Length x Width = √29 x √109 = √(29 x 109) = √3161
Therefore, the area of the rectangle is √3161 units.
Using the given points:
Length:
Distance between points (1, -1) and (3,4) = √((3-1)^2 + (4-(-1))^2) = √(2^2 + 5^2) = √(4 + 25) = √29
Width:
Distance between points (-1, -3) and (2, 7) = √((2-(-1))^2 + (7-(-3))^2) = √(3^2 + 10^2) = √(9 + 100) = √109
Area of the rectangle = Length x Width = √29 x √109 = √(29 x 109) = √3161
Therefore, the area of the rectangle is √3161 units.