The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 38 feet. Find the length and width of the rectangle.
Answer
Attempt 1 out of 2
Width =
feet Length =
feet
Let's assume that the width of the rectangle is x feet. Since the length and width are consecutive integers, the length would then be (x+1) feet.
The perimeter of a rectangle is given by the formula: P = 2(length + width)
Plugging in the given values, we can write the equation: 38 = 2((x+1) + x)
Simplifying the equation: 38 = 2(2x + 1)
Expanding the brackets: 38 = 4x + 2
Subtracting 2 from both sides: 36 = 4x
Dividing both sides by 4: x = 9
Therefore, the width of the rectangle is 9 feet, and the length would be (9+1) = 10 feet.