Question

terri is planning to build a garden using the plans below. how much fencing will she need to split the garden on the diagonal? rectangular 40yards by 30yards

Answer 1

Length of the fence is 50 yards.

Explanation:

The dimensions of the garden are:

length of the garden = 40 yards

width of the garden = 30 yards

Representing these by the sides of a right angled triangle, the diagonal is the hypotenuse of the triangle. So that applying the Pythagoras theorem, we have:

`/hyp/^(2)` =
`/adj1/^(2)` +
`/adj2/^(2)`

Let the diagonal be represented by x, so that;

`x^(2)` =
`40^(2)` +
`30^(2)`

= 1600 + 900

= 2500

x =
`√(2500)`

= 50

x = 50 yards

Hence, Terri would need a fence of length 50 yards so as to split the garden on the diagonal.