The value of x is 2 1/2 if the perimeter of the patio after it is expanded is 74 feet option (1) is correct.
What is a rectangle?
It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
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We have:
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.
The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is:
2[(12 + 2x) + 15 + 2x)] = 74
Divide by 2 on both the side:
(12 + 2x) + (15 + 2x) = 37
4x + 27 = 37
4x = 10
x = 10/4
x = 5/2
x = 2 1/2 feet
Thus, the value of x is 2 1/2 feet if the perimeter of the patio after it is expanded is 74 feet option (1) is correct.
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