Question

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

Answer 1

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.