Chapter 4.8, Problem 63STP

To determine

To Find: The number of seed bags required to sow the land.

Answer to Problem 63STP

  $128$

Explanation of Solution

Given:

  $\begin{array}{l}\text{Length of the yard}=80ft\\ \text{Breadth of the yard}=40ft\\ \text{Area covered by one bag of seed }=25f{t}^2\end{array}$

Formula Used:

  $\begin{array}{l}x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\ areaof\text{rectangle=}l\times b\end{array}$

Calculation:

  $\begin{array}{l}\text{Length of the yard}=80ft\\ \text{Breadth of the yard}=40ft\\ \text{Area covered by one bag of seed }=25f{t}^2\\ \text{Area of the yard=}\left(80\times 40\right)f{t}^2\\ =3200f{t}^2\\ \text{Numbers of seed bags required=}\frac{\text{Area of yard}}{\text{Area covered of one seed bag}}\\ =\frac{3200f{t}^2}{25f{t}^2}=128\end{array}$

Conclusion:

Thus the number of bags required to sow the yard is $128$ .