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Determine the coordinates of the corners of the rectangle to compute the area of the rectangle using the distance formula (round to the nearest integer).

Determine the coordinates of the corners of the rectangle to compute the area of the-example-1
User Typeof
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2 Answers

4 votes

Answer:

d is the answer

Explanation:

User Maurix
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7.9k points
4 votes

Answer:

The area of rectangle is
72\ units^(2)

Explanation:

see the attached figure with letters to better understand the problem

Let


A(3.10),B(12,1),C(16,5),D(7,14)

we know that

The area of rectangle is equal to


A=(AB)(BC)

the formula to calculate the distance between two points is equal to


d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}

Find the distance AB

we have


A(3.10),B(12,1)

substitute in the formula


AB=\sqrt{(1-10)^(2)+(12-3)^(2)}


AB=\sqrt{(-9)^(2)+(9)^(2)}


AB=√(162)\ units

Find the distance BC

we have


B(12,1),C(16,5

substitute in the formula


BC=\sqrt{(5-1)^(2)+(16-12)^(2)}


BC=\sqrt{(4)^(2)+(4)^(2)}


BC=√(32)\ units

Find the area of rectangle


A=(√(162))*(√(32))=72\ units^(2)

Determine the coordinates of the corners of the rectangle to compute the area of the-example-1
User Steboc
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7.1k points