Question

Manu has decided to create a triangular flower bed border. He plans to use 3 pieces of rectangular wooden plates with lengths $4,5$ and $6$ feet, as shown in the figure.
Manu plans to cut the 3 pieces of plate for the flower bed border from a single piece of plate. If $\frac{1}{8}$ inch wood is wasted in every cut, calculate the shortest single piece of plate which can be used by Manu.

• A. $178$
• B. $179$
• C. $180$
• D. $181$
• E. $182$

Answer 1

The correct option is D $181$

Given, the lengths of rectangular wood plates are $4,5,6$

$Totallength=4+5+6=15feet=180inch$

Given $\frac{1}{8}inch$ wood is wasted in every cut, if Manu wishes to create the bed border from a single piece of plate.

To form a triangle, from a single piece, it has to be cut twice.

Hence, wastage wood$=2\times \frac{1}{8}=\frac{1}{4}inch$

Total length of plate required is $180+\frac{1}{4}=180.25inch$

From the given options, the shortest single piece of plate that can be used by Manu is $181$. Option D