Question

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

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.