Chapter 11.5, Problem 50SR

To determine

To determine: The minimum amount of fencing required to enclose a garden of area 300 square feet if fencing is available in whole foot sections.

Answer to Problem 50SR

Minimum 70 feet fencing is required to enclose the garden.

Explanation of Solution

Given information: A square garden having its area 300 square feet, to be enclosed by a fencing, to be measures in whole foot sections.

Formula/Concept used: First find side of garden using the formula,

Area of the square $={(\text{side})}^2$

And then the length of total fencing as a perimeter of this square is calculated using following formula:

Perimeter of the square Area of the square $=4\times side$

Calculation: Because,

  $300={(side)}^2$

Side=√300=17.32

So, total length of the fencing $=4\times 17.32=69.28$

Conclusion: By above calculation, it is cleared, minimum total length of the fencing as a whole foot section is 70 feet.