Question

Need the answer no is able to give me the right answer

Answer 1

Given:

The window is divided into a semi-circle and a rectangle.

The radius of the semi-circle is 2' 9''.

The length of the rectangle is 5; 6''.

The cost of put molding for the curved portion is $10.82 per foot.

The cost of put molding for the straight portion is $ 2.81 per foot.

Required:

We need to find the cost to put molding for the window.

Explanation:

Convert inches to feet.

$We\text{ know that 1 foot =12 inches.}$

Divide 9 inches by 12 to convert inches to feet.

$9\text{ inches=}\frac{9}{12}feet=\frac{3}{4}feet.$$2^{\prime}9^{\prime}^{\prime}=2+\frac{3}{4}=\frac{8+3}{4}=\frac{11}{4}feet.$$The\text{ radius of the semi-circle, r =}\frac{11}{4}feet.$

Divide 6 inches by 12 to convert inches to feet.

$6\text{ inches=}\frac{6}{12}feet=\frac{1}{2}feet.$$The\text{ length of the rectangle is, }l=5+\frac{1}{2}feet=\frac{11}{2}feet$

The width of the rectangle is the same as the diameter of the semi-circle.

$d=2r=2\times\frac{11}{4}=\frac{11}{2}feet.$$The\text{ width of the rectangle is, w=}\frac{11}{2}feet.$

Consider the arc length of the semi-circle formula.

$S=\pi r$

$\text{ Substitute }r=\frac{11}{4}\text{ and }\pi=3.14\text{ in the formula.}$$S=3.14\times\frac{11}{4}$$S=8.635feet.$

Multiply the arc length by $10.82 to find the cost of put molding for the curved portion.

$The\text{ cost of the curved portion=8.635}\times10.82$$The\text{ cost of the curved portion=\ 93.4307.}$

The perimeter of the straight portion is the sum of the three sides of the rectangle.

$P=l+w+l$$Substitute\text{ }l=\frac{11}{2\text{ }}feet\text{ and }w=\frac{11}{2}feet\text{ in the formula.}$$P=\frac{11}{2}+\frac{11}{2}+\frac{11}{2}$$P=16.5$

Multiply the perimeter by $2.81 to find the cost of put molding for the straight portion.

$The\text{ cost of the straight portion}=16.5\times2.81$$The\text{ cost of the straight portion}=46.365$

The cost to put molding around the window is the sum of the cost of the curved portion and straight portion.

$The\text{ cost to put molding around the window}=\text{ \ 93.4307+ \ }46.365$$The\text{ cost to put molding around the window}=\text{ \ 139.7957}$$The\text{ cost to put molding around the window}=\text{ \ 139.80}$

Final answer:

$The\text{ cost to put molding around the window}=\text{ \ 139.80}$