Question

Your backyard is 17 feet longer than it is wide. Its area is 7068 square feet. Its width is:

1.81 feet
2.74 feet
3.63 feet
4.54 feet

Answer 1

To find the width of the backyard, set up an equation using the given information and solve for 'w'. The width of the backyard is approximately 26.54 feet.

Step-by-step explanation:

To find the width of the backyard, let's represent it as 'w'. According to the given information, the length of the backyard is 17 feet longer than its width. So, the length can be represented as 'w + 17'. The area of the backyard is given as 7068 square feet, so we can set up the equation: w * (w + 17) = 7068. Expanding this equation, we get w^2 + 17w = 7068. Now, let's solve this quadratic equation to find the value of 'w'. The width of the backyard is approximately 26.54 feet.