Question

Joseph is planning to put up a fence around his vegetable garden. The garden is in the shape of a square with an area of 100 square yards. On 2 sides of the garden, Joseph intends to leave a space of 4 feet unfenced so he can install gates. If one yard equals three feet, how many feet of fencing does Joseph need?

Answer 1

The number of feet of fencing needed will be equal to the perimeter of the garden, less the two 4-foot spaces intended to be left unfenced. To find the perimeter, we need to know the length of the sides of the garden. We are given the area of the garden, which we can use to find the length of the sides, since the area of a square is equal to the product of 2 of its sides. If the area is100 square yards, then each side must be 10 yards, because 10 x 10 = 100. However, the problem asks how many feet of fencing are needed, so we need to convert yards to feet. Since 1 yard equals 3 feet, 10 yards equals 30 feet. So we know that the sides of the garden are 30 feet each. Thus the total perimeter is 4 x 30 = 120 feet. Now subtract the area to be left unfenced, which is 4 feet on 2 sides, or 8 feet. The total number of feet of fencing needed is 120 – 8 = 112

Answer 2

Thanks all :). I got the answer