The value of x from the given set of values is 5
A rectangle is a 2 dimensional shape with 4 sides and angle. The formula for calculating the area and perimeter is given as:
Area = length * width
Perimeter = 2(length + width)
If the length of a rectangle is 2 inches more than its width and the perimeter of the rectangle is 24 inches, the resulting equation will be:
2x + 2(x + 2) = 24,
Expand and determine the value of "x"
2x+ 2x + 4 = 24
4x + 4 = 24
Subtract 4 from both sides
4x = 24 - 4
4x = 20
Divide both sides by 4
4x/4 = 20/4
x = 5
Hence the value of x from the given set of values is 5
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Complete question
The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x + 2) = 24, where x is the width in inches, represents this situation. The value of x from the set {1, 3, 5, 7} that holds true for the equation is . So, the width of the rectangle is inches and its length is inches.
