perplexus.info :: Geometry : Garden Path

Garden Path (Posted on 2006-05-10)

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.)

See The Solution Submitted by Jer

Rating: 3.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

My Guess

| Comment 1 of 12

I think it's 11m^2

11*29=319m^2 (area of rectangle)

11*28=308m^2 (area of 2 triangles)

So, 11m^2 is the difference and the area of the path

Posted by Wokachilla on 2006-05-10 12:21:47

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