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Sagot :
The given points are
(352, 150)
(352, 175)
(456, 150)
(456, 175)
Each point represents one vertex of the rectangle.
The points that have the same x-coordinate are in the same vertical line, this means that the diference between the y-coordinates of the point determine the length of the width of the rectangle.
Since is a rectangle both vertical sides are equal.
Using the points
(352, 150)
(352, 175)
You can calculate the width as:
[tex]\begin{gathered} w=y_2-y_1 \\ w=175-150 \\ w=25\text{units} \end{gathered}[/tex]The points that have the same y-coordinate are in the same horizontal line, if you calculate the difference between the x-coordinates of said points, you can determine the length of the rectangle.
Using the points
(456, 150)
(352, 150)
You can calculate the length as
[tex]\begin{gathered} l=x_2-x_1 \\ l=456-352 \\ l=104\text{units} \end{gathered}[/tex]So the rectangle has a length of 104 and a width of 25. Using these values you can calculate the area:
[tex]\begin{gathered} A=wl \\ A=25\cdot104 \\ A=2600\text{units}^2 \end{gathered}[/tex]
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