Question

A sqaure window is 2 meters long on each side. To protect the window during a storm, Marisol plans to put a strip of duct tape along each diagonal of the window. To the nearest tenth of a meter, what is the toal length of duct tape Marisol will need.



Please give equation.

Answer 1

Answer:

5.7 meters

Step-by-step explanation:

Since the duct tape is to be placed along the diagonal of the square window, Considering the shape formed by one diagonal and two sides of the window. This shape is a right angle triangle.

The diagonal represents the hypotenuse while the sides are the opposite and adjacent. Using Pythagoras theorem, let the length of the diagonal be h

h^2 = 2^2 + 2^2

= 4 + 4

= 8

Taking the root of both sides

h = √8

= 2.828 meters

considering that the duct tape is needed for 2 diagonals, the total length required

= 2.828 * 2

= 5.656

To the nearest tenth of a meter, this becomes

= 5.7 meters