The perimeter of a playing field for a certain sport is 214 ft. The field is a rectangle, and the length is 41 ft longer than the width . Find the dimensions.

Answer 1

Hi Tay,

Let's use the variable, w , to represent the width of the rectangle.

Then we can write the following expression for the length: w + 41

Since the perimeter is the sum of all four sides, we can write and solve the following equation to find the value of w:

2w + 2(w + 41) = 214

2w + 2w + 82 = 214

4w + 82 = 214

4w + 82 - 82 = 214 - 82

4w = 132

4w/4 = 132/4

w = 33 feet

The length will be 33 + 41 = 74 feet

The perimeter will be 33 + 33 + 74 + 74 = 214 feet