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

Answer:

Cost = $51.96

Step-by-step explanation:

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

The area of a hexagonal shaped figure is given by :

$A=\dfrac{3\sqrt3}{2}r^2$

Put r = 2 feet in above formula

$A=\dfrac{3\sqrt3}{2}\times (2)^2\\\\A=10.392\ \text{unit}^2$

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

$A=10.392\times 5\\\\A=\ 51.96$

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