Question

You are buying fabric to make a patio umbrella in the shape of a regular hexagon, as shown. The red fabric costs $3 per square yard and the white fabric costs $1.75 per square yard. You can only order whole numbers of square yards of fabric. What will be the cost of the fabric for this project?

Answer 1

Answer:

$14.25

Step-by-step explanation:

This is a hexagon. Therefore all the angles are  60º.

4ft = 4/3 yd

Area of one triangle

= √3/4 (4/3)²

= √3/4 (16/9)

= (4√3)/9 yd²

Area of 3 triangles

=  (4√3)/9 x 3

= (4√3)/3 yd²

= 3 yd² (Next whole number)

Cost of red fabric = 3 x 3 = $9

Cost of white fabric = 3 x 1.75 = $5.25

Total cost = 9 + 5.25 = $14.25