What is the area of the window shown? Use 3.14 for pi.

The answer to your question is 2236.68 in²

Step-by-step explanation:

Data

Base = 36 in

height = 48 in

radius = 36/2 = 18 in

π = 3.14

Process

1.- Calculate the area of the rectangle

Area = base x height

-Substitution

Area = 36 x 48

-Result

Area = 1728 in²

2.- Calculate the area of the semicircle

Area = πr²/2

-Substitution

Area = (3.14)(18)²/2

-Simplification

Area = (3.14)(324)/2

-Result

Area = 508.68

3.- Total area

Area = 1728 + 508.68

         = 2236.68 in²

The new line segment CD is 1/4 th of AB

CD = × AB

Step-by-step explanation:

Given that, RSTU is a square and AB a line drawn through it's center.

let the length of side of square be a.

⇒ Length of line segment AB = a. (as it is same as length of side of square)

Now, given the square is dilated using the scale factor of 1/4 and a line is drawn through the center of the new dilated figure.

let this line be CD with points C and D on sides of dilated square.

Now, as the square is dilated by a factor of 1/4, length of side of dilated square is a× =

⇒ the length of CD =

⇒ The new line segment CD is 1/4 th of AB

CD = × AB