<h3>
Answer: 7.1</h3>
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Explanation:
The two points are (x1,y1) = (1,3) and (x2,y2) = (8,4)
Use the distance formula to get,

Alternatively, you can plot the two points A(1,3) and B(8,4) on the same xy grid. Then plot point C(8,3). Note that C has the same x coordinate as B, and the same y coordinate as A. Triangle ABC is a right triangle, where the 90 degree angle is at point C. The distance from A to B is the same as finding the length of AB, which is the hypotenuse.
This means we can apply the pythagorean theorem to find the hypotenuse AB. The distance formula is a modified version of the pythagorean theorem. Refer to the diagram below.
Since the perimeter of the square is 28ft, the side length of the square is 7ft.
Hence, the area of the square is 49 square feet.




Multiply the numbers.
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Combine multiplied terms into a single fraction.
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Subtract 8 from both sides of the equation.


Multiply all terms by the same value to eliminate fraction denominators.

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Cancel multiplied terms that are in the denominator.
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Multiply the numbers.
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Divide both sides of the equation by the same term.


Simplify.

Solution.
.


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