A gardener has a rectangular garden 11m (AD) by 29m (AB) and wants to install a diagonal path exactly 1m wide. The edges of the path are ED and BF as shown in the diagram.
A_____________E__B
| / /|
| / / |
| / / |
| / / |
| / / |
| / / |
|/__/____________|
D F C
Find the exact area of the path.
(Note: EB is
not the width of the path.)
total area of garden = 319
area of one of the triangles (use pythagoreu's theory to find hypotenuse) = 158.24
area of both triangles = 316.48
Area of walk = 2.52
am I close?
Garden Path
