Question

The length of a rectangle is 19 feet longer than the width. If the perimeter is 46 feet, write an equation for this scenario

Answer 1

Answer: The equation shall be

8 = 4W

Step-by-step explanation: The perimeter has been given as 46 feet, whereas the length and the width are not yet given. But the clue we have states that “the length is 19 feet longer than the width,” which means, if the width is W then the length shall be 19 plus W. We can express the dimensions as;

Length = 19 + W

Width = W

We can now express the perimeter as follows;

Perimeter = 2(L + W)

46 = 2(19 + W + W)

46 = 2(19 + 2W)

46 = 38 + 4W

Subtract 38 from both sides of the equation

8 = 4W