Question

Cassie has a rectangular garden as shown below. To surround her entire garden, without cutting or bending any pieces of fence, what is the smallest number of pieces of fence that she needs to buy? 5m 10000 7m Fence size options 1.8 m 2.6 m 3.2 m Not drawn accurately​

Answer 1

Hello, this is Tenzin. I can help you with this math problem.

To find the smallest number of pieces of fence that Cassie needs to buy, we need to calculate the perimeter of her garden and then divide it by the length of each fence size option. The perimeter of a rectangle is given by the formula:

P=2(L+W)

where P is the perimeter, L is the length, and W is the width. In this case, the length of Cassie’s garden is 10 m and the width is 7 m. So, the perimeter is:

P=2(10+7)

P=2(17)

P=34 m

Now, we need to divide 34 m by each fence size option and round up to the nearest integer. This will give us the number of pieces of fence needed for each option. The calculations are as follows:

For 1.8 m fence: 1.834≈18.89⇒19 pieces

For 2.6 m fence: 2.634≈13.08⇒14 pieces

For 3.2 m fence: 3.234≈10.63⇒11 pieces

The smallest number of pieces of fence is obtained when using the 3.2 m fence option, which requires 11 pieces. Therefore, the answer is 11.

I hope this helps you understand how to solve this problem. Have a nice day!

Answer 2

To surround a garden with a perimeter of 24m using the largest available fence size of 3.2m, at least 8 pieces of fencing would be required.

Step-by-step explanation:

The question is concerned with determining the smallest number of pieces of fence needed to surround a rectangular garden with dimensions 5m by 7m, given the options of fence sizes which are 1.8 m, 2.6 m, and 3.2 m long. To answer this, one would calculate the perimeter of the garden and then choose the largest fence size to minimize the number of pieces required. The perimeter of the garden is 2 * (5m + 7m) = 24m. The largest fence piece available is 3.2 m. Dividing the perimeter by the size of the largest piece gives 24m / 3.2m = 7.5, which means one would need at least 8 pieces of the 3.2 m fence because you cannot use half a piece of fencing.