Chapter 3.5, Problem 50STP

To determine

To find how mach lace will be needed to cover all 4 sides of tablecloth.

  

1. $20\frac{1}{2}$ in.
2. 41 in.
3. 125 in.
4. 250 in.

Answer to Problem 50STP

Option D.

Explanation of Solution

Given:

  

Calculation:

The amount of lace required to cover all 4 sides of tablecloth is equal to the perimeter of the tablecloth.

To find the perimeter of the table cloth, add all the lengths of side of tablecloth.

  

Perimeter $=72\frac{2}{3}+52\frac{1}{3}+72\frac{2}{3}+52\frac{1}{3}$

  $\begin{array}{l}\Rightarrow 72\frac{2}{3}+52\frac{1}{3}+72\frac{2}{3}+52\frac{1}{3}\\ \Rightarrow \frac{72\times 3+2}{3}+\frac{52\times 3+1}{3}+\frac{72\times 3+2}{3}+\frac{52\times 3+1}{3}\\ \Rightarrow \frac{72\times 3+2+52\times 3+1+72\times 3+2+52\times 3+1}{3}[\because \text{Taking Least Common Factor]}\\ \Rightarrow \frac{216+2+156+1+216+2+156+1}{3}\\ \Rightarrow \frac{750}{3}\\ \Rightarrow 250\text{in}\text{.}\end{array}$

Hence, the amount of lace requires is 250 in.

The above value matches with Option D.

Conclusion:

Therefore, Option D is correct.