Question

Nancy's rectangular garden is represented in thediagram below.Walkway8 feet15 feetIf a diagonal walkway crosses her garden, what isits length, in feet?

Answer 1

The length of the diagonal is 17 ft

Here, we want to get the length of the diagonal

To get this, we shall be using Pythagoras' theorem as the sides of the rectangle and the diagonal itself forms a right-angled triangle

The theorem states that the square of the hypotenuse (diagonal in this case) equals the sum of the squares of the two other sides (sides of the rectangle in this case)

Let us represent the diagonal by D

We have it that;

`\begin{gathered} D^2=8^2+15^2 \\ D^2\text{ = 64 + 225} \\ D^2\text{ =289} \\ D\text{ = }\sqrt[]{289} \\ D\text{ = 17 ft} \end{gathered}`