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.)
The area of the rectangle is 11 * 29 = 319.
The area of each triangle which is NOT part of the path is 0.5 * 11 * 28. Collectively, therefore, the two triangles' area sum to 11 * 28 = 308.
By subtraction, that would give the path an area of 11 square meters.
I'll now read other comments to doublecheck myself.
|
|
Posted by John
on 2006-05-10 17:55:23 |
Is it more complicated than this?
