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Answer :
The length of the rectangle is 19 inches and the width is 15 inches. Let's assume the width of the rectangle is x inches. According to the given information, the length of the rectangle would be 4 inches longer than the width, so it would be (x + 4) inches.
The formula for the perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
Substituting the values into the equation:
68 = 2 * ((x + 4) + x)
Simplifying:
68 = 2 * (2x + 4)
Dividing both sides by 2:
34 = 2x + 4
Subtracting 4 from both sides:
30 = 2x
Dividing both sides by 2:
15 = x
So, the width of the rectangle is 15 inches.
To find the length, we can substitute this value back into the equation for the length:
Length = x + 4
Length = 15 + 4
Length = 19 inches
Therefore, the length of the rectangle is 19 inches and the width is 15 inches.
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