Question

Amy has a rectangular garden that is 23 feet wide. If the length of the garden is 12 feet, what is the length of its diagonal, in feet? Round to the nearest tenth​

Answer 1

25.9 feet

Explanation:

If you split a rectangle into 2 pieces with a diagonal, each piece will be a right triangle

Therefore we can use the pythagorean theorem to solve this problem

The two legs of the right triangle will be 23 and 12

The formula is a^2 +b^2=c^2

c^2 is the diagonal squared ( the hypotenuse)

So:

12^2+23^2=c^2

144+529=c^2

673=c^2

To find just c we need to find the square root of 673, rounded to the nearest tenth

`√(673)=25.9`

(the equation is rounded)

So the diagonal is 25.9