Question

Replacement glass for energy-efficient windows costs $5.00 per square foot. About how much will you pay for replacement glass for a regular hexagonal window with a radius of 2 feet?

A. $10.39
B. $27.78
C. $45.98
D. $51.96

Answer 1

Cost = $51.96

Explanation:

The radius of a regular hexagonal window, r = 2 feet

The area of a hexagonal shaped figure is given by :

`A=(3\sqrt3)/(2)r^2`

Put r = 2 feet in above formula

`A=(3\sqrt3)/(2)* (2)^2\\\\A=10.392\ \text{unit}^2`

Replacement glass for energy-efficient windows costs $5.00 per square foot. It means, the total cost will be :

`A=10.392* 5\\\\A=\$51.96`

So, the required cost will be $51.96. Hence, the correct option is (d).