Question

Help with this question, please! I need help!

Answer 1

$357

Explanation:

We have a rectangle measuring 25 feet × 9 feet. Remove from the rectangle two regular hexagons with a side length equal to 2 feet.

The formula of an area of a rectangle:

`A_r=lw`

l - length, w - width.

Substitute l = 25 ft and w = 9 ft:

`A_r=(25)(9)=225\ ft^2`

The formula of an area of a regular hexagon:

`A_h=6\cdot(a^2\sqrt3)/(4)`

a - side

Substitute a = 2 ft:

`A_h=6\cdot(2^2\sqrt6)/(4)=6\sqrt3\ ft^2`

The area of the wall:

`A=A_r-2A_h`

Substitute:

`A=225-2(6\sqrt3)=225-12\sqrt3\approx225-20.785=204.215\ ft^2`

Paiting the wall costs $1.75 per ft². Calculate:

`(\$1.75)(204.215)\approx\$357`