Chapter 11.8, Problem 10IP

To determine

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

Answer to Problem 10IP

Sides of a smaller figure are $0.36$ feet, $1.02$ feet, $1.5$ feet and $2.4$ feet.

Explanation of Solution

Given information:

Sides of a figure are $1.2$ feet, $3.4$ feet, $5$ feet and $8$ feet.

Scale factor $=k=0.3$

Given

Sides of a figure are $1.2$ feet, $3.4$ feet, $5$ feet and $8$ feet.

Scale factor $=k=0.3$

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

First Dimension of smaller figure is $1.2\times 0.3=0.36$ feet

Second Dimension of smaller figure is $3.4\times 0.3=1.02$ feet

Third Dimension of smaller figure is $5\times 0.3=1.5$ feet

Fourth Dimension of smaller figure is $8\times 0.3=2.4$ feet

Therefore,

Sides of a smaller figure are $0.36$ feet, $1.02$ feet, $1.5$ feet and $2.4$ feet.