Question

A rectangular garden measures 15 m long and 13.7 m wide. what is the length of a diagonal from one corner of the garden to the other?

Answer 1

A^2+B^2=C^2

15^2+13.7^2=C^2
225+187.69=C^2
412.69=C^2
20.315=C

Answer 2

The length of the diagonal is:

20.3147

Explanation:

We know that if we draw a diagonal in a rectangle such that the length and width of a rectangle are a and b then the length of the diagonal act as a hypotenuse of a right angled triangle with two sides of triangle as a and b.

Hence, we will use the Pythagorean Theorem to find the length of the hypotenuse (c) as follows:

`c^2=a^2+b^2`

`c^2=(15)^2+(13.7)^2\\\\c^2=225+187.69\\\\c^2=412.69\\\\c=\pm √(412.69)\\\\c=\pm 20.3147`

Since, length can't be negative.

Hence, we have:

`c=20.3147`