Chapter 11.8, Problem 9IP

To determine

To find: How long are the sides of the smaller Hexagon.

Answer to Problem 9IP

Lengths of smaller hexagon is $27$ units.

Explanation of Solution

Given information:

Sides of regularhexagon are $36$ units long.

Scale factor $=k=0.75$

Given

Sides of regular hexagon are $36$ units long.

Scale factor $=k=0.75$

Multiply each dimension of regular hexagon by the scale factor of $0.75$

Dimensions of smaller hexagon is $36\times 0.75=27$ units

Therefore,

Lengths of smaller hexagonis $27$ units.