The Rodriguez family has a rectangular backyard. They have 200 feet of fencing. The dimensions of their yard are 65 feet wide and 42 feet long. Does the family have enough fencing to build a fence around their backyard?
well, is 2(65+42) ≤ 200 ?
To determine if the Rodriguez family has enough fencing to build a fence around their backyard, we need to calculate the perimeter of the backyard and compare it to the amount of fencing they have.
The formula for the perimeter of a rectangle is: perimeter = 2 * (length + width)
In this case, the length of the backyard is 42 feet and the width is 65 feet.
plugging the values into the formula, we get: perimeter = 2 * (42 + 65)
Simplifying the equation, we get: perimeter = 2 * 107 = 214 feet.
So, the perimeter of the backyard is 214 feet, which means the Rodriguez family needs at least 214 feet of fencing to enclose their backyard.
Since they only have 200 feet of fencing, they do not have enough to build a fence around their entire backyard.