To find the area of a rectangle, we can use the formula:
Area = length * width
To find the length and width of the rectangle, we can calculate the distance between pairs of coordinates.
The length can be found by calculating the distance between the points (0,0) and (2,2):
Length = sqrt((2-0)^2 + (2-0)^2)
= sqrt(2^2 + 2^2)
= sqrt(4 + 4)
= sqrt(8)
≈ 2.828
The width can be found by calculating the distance between the points (0,0) and (9,-4):
Width = sqrt((9-0)^2 + (-4-0)^2)
= sqrt(9^2 + (-4)^2)
= sqrt(81 + 16)
= sqrt(97)
≈ 9.849
Finally, we can calculate the area of the rectangle:
Area ≈ 2.828 * 9.849
≈ 27.91
Therefore, the approximate area of the rectangle is 27.91 square units.
A rectangle is drawn on a coordinate plane with vertices (0,0) , (2,2) , (9,−4) , and (7,−6) . Using the coordinates, what is the approximate area of the rectangle?(
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1 answer