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

Answer:

Length of the fence is 50 yards.

Step-by-step 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 = $\sqrt{2500}$

  = 50

x = 50 yards

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