Significant Figures: A rectangular garden measures 15 m long and 13.70 m wide. What is the length of a diagonal from one corner of the garden to the other?

Respuesta :

Answer:

The diagonal of rectangular garden is 19.90 m                              

Step-by-step explanation:

We are given the following in the question:

Measure of rectangular garden:

Length, l = 15 m

Width, w = 13.70 m

We have to find the length of diagonal of rectangle.

The diagonal of rectangle, d will be given by Pythagoras theorem as it is the hypotenuse of the right angles triangle.

Thus, we can write,

[tex]d = \sqrt{l^2 + w^2}[/tex]

Putting values, we get,

[tex]d = \sqrt{(15)^2+(13.07)^2}\\d = \sqrt{225 +170.8249}\\d \approx 19.90[/tex]

Thus, the diagonal of rectangle is 19.90 m