Angles perimeter

Question

The perimeter of a rectangular park is 200 feet the length of the park is 30 feet longer than the width find the length of the park

Answer 1

Hi Danielle,

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

Then we can write the following expression for the length: w + 30

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 + 30) = 200

2w + 2w + 60 = 200

4w + 60 = 200

4w + 60 - 60 = 200 - 60

4w = 140

4w/4 = 140/4

w = 35 feet

The length will be 35 + 30 = 65 feet

The perimeter will be 35 + 35 + 65 + 65 = 200 feet