Problem

Ii * Get rady for analytic gear $x$
Rectangle $A B C D$ is graphed in the coordinate plane. The following are the vertices of the rectangle: $A(2,-3), B(4,-3), C(4,5)$, and $D(2,5)$
What is the perimeter of rectangle $A B C D$ ?
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Answer

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Answer

\(\boxed{20}\) is the perimeter of rectangle $ABCD$

Steps

Step 1 :Given the vertices of rectangle $A B C D$ as $A(2,-3), B(4,-3), C(4,5)$, and $D(2,5)$

Step 2 :We can find the length and width of the rectangle by calculating the absolute difference between the x-coordinates for the width and the y-coordinates for the length

Step 3 :Calculating the width, we get $|4-2| = 2$

Step 4 :Calculating the length, we get $|5-(-3)| = 8$

Step 5 :The perimeter of a rectangle is given by the formula $2*(length + width)$

Step 6 :Substituting the values of length and width into the formula, we get $2*(8 + 2) = 20$

Step 7 :\(\boxed{20}\) is the perimeter of rectangle $ABCD$

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