Question

A house is getting a new window that needs a wooden frame. The area of the square shaped window is 15 square metre. About how many metres of wood is needed to frame the window?

Answer 1

Given:

A house requires a new window that needs a wooden frame

Area of the square-shaped window = 15 m²

To find:

About how many metres of wood is needed to frame the window?

Solution:

We know,

$\boxed{\bold{Area \:of\:a\:square = side^2}}$

Let "a" meter represent the side of the square-shaped window.

Therefore, using the formula, we get

Area of the square-shaped window = a²

⇒ 15 = a²

⇒ a = $\sqrt{15}$

⇒ a = 3.87 m ≈ 4 m approximately

Now, to find the length of wood required to frame the window, we have to calculate the perimeter of the square-shaped window.

∴ The perimeter of the square-shaped frame of the window is,

= 4a

substituting the value of a = 4 m

= 4 × 4

=  16 m

Thus, 16 meters of wood is needed to frame the window.

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