Question

The length of a garden is 51 1/3 feet. One section of fencing is 3 2/3 feet long.

Part A: How many sections of fencing are needed along the length of the garden?

Part B: For each piece of fencing , 4 stakes are used to secure it in place. The stakes are equally spaced along the fencing the fencing piece, With one stake at each end. How far apart are the stakes on one piece of fencing?

Answer 1

Part A - 14 sections of fencing

Part B - 0.9165 the distance between each stake

Answer 2

$\\(A)\\ \text{Given that the length of the garden is}=51\frac{1}{3}=\frac{154}{3} \text{ feet}\\ \text{and the length of one section of fencing is}=3\frac{2}{3}=\frac{11}{3}\text{ feet}\\ \\ \text{hence the total number of sections of fencing needed along}\\ \text{the length of the garder are:}\\ \\ =\frac{154/3}{11/3}\\ \\ =\frac{154}{3}\times \frac{3}{11}\\ \\ =\frac{462}{33}\\ \\ =14 \\ \text{Hence the total number of sections of fencing needed are:}$

14

$\\(B)\\ \text{For each piece of fencing , 4 stakes are used to secure it in place.}\\ \text{The stakes are equally spaced along the fencing With one stake at each end. }\\ \\ \text{so we need to divide the length of fencing in three equal parts}\\ \text{seperated by 4 stakes. so the length between two stakes is}\\ \\ =\frac{11/3}{3}\\ \\ =\frac{11}{3\times 3}\\ \\ =\frac{11}{9}\\ \\ \approx 1.22$

Hence, the stakes are approximately 1.22 feet from each other on one piece of fencing.