Question

Luke and his father are putting a fence around his backyard. The length of his yard is four feet more than triple times the width. They bought 344 ft of fence that will go around the yard exactly. What are the dimensions of the yard?

Answer 1

To find the dimensions of the yard, we need to solve an equation based on the given information.

Step-by-step explanation:

Let's assign the width of the backyard as x feet. According to the problem, the length of the backyard is four feet more than triple the width, so the length can be expressed as 3x + 4 feet.

The fence will go around the perimeter of the yard, which is equal to twice the length plus twice the width. So, the perimeter can be expressed as 2(3x + 4) + 2x = 344.

Solving this equation, we can find the value of x and then calculate the dimensions of the yard.