Question

a square shaped window of house has a area of 3600 square inch. how many feet of wood is needed to frame the window​

Answer 1

Concept: A Square

A square is a polygon with four equal sides. Since we are given that the window is shaped like a square, we will need to know the following formulae:

⇒ The area of a square = side × side = side²

⇒ The perimeter of a square = 4 × side

Answer

We are given that the area of the square shaped window is 3600² inch, and are required to find the wood required to frame the window in feet.

Finding the measurement of the side of the window:

We know that,

⇒ Area of a square = side²

⇒ Area of the square-shaped window = side²

⇒ 3600 = side²

⇒ √3600 = side

⇒ Side = 60 inches

The wood required to frame the window is the perimeter of the square-shaped window. Now that we have the measure of the side, we can easily find the perimeter of the window.

Finding the perimeter:

We know that,

⇒ Perimeter of a square = 4 × side

⇒ Perimeter of the window = 4 × 60

                                              = 240 inches

We now know the perimeter of the window, but the question requires that the needed wood be in feet. So,

• 12 inches = 1 feet
• 240 inches = 240/12 feet
• 240 inches = 20 feet

Therefore, 20 feet of wood is required to frame the window.