The length of a rectangular garden is 3yd more than twice it’s width the perimeter of the garden is 36 yd what are the width and length of the garden

Answer 1

If we use the variable w to represent the width if the rectangle, then we can write the following expression for its length: 2w + 3

Since perimeter is equal to the total distance (36yds) around the rectangle, we can write the following equation to represent the perimeter of 36 yds:

twice the width (w) plus twice the length (2w + 3) is equal to 36 OR

w + w + 2w + 3 + 2w + 3 = 36

Now combine like terms to solve the equation for w *the width):

6w + 6 = 36

Subtract 6 from both sides of the equation:

6w + 6 - 6 = 36 - 6

6w = 30

Divide both sides of the equation by 6 to determine w:

6w/6 = 30/6

w = 5 yds

The length will be equal to 2w + 3 OR:

2 * 5 + 3 = 10 + 3 = 13 yds

To verify :

2 times the width plus 2 times the length should be 36 yds:

2 * 5 + 2 * 13 =

10 + 26 or 36 yds