Question

Consider a rectangular garden that is ten meters by twenty meters. the owner of the garden, who has enough spare wood to cover 136 square meters, want to build a wood path with a constant width around the outside of the garden. what is the width of the path, assuming he uses all his spare wood to built it ?

Answer 1

A PATH AROUND THE OUTSIDE OF A 200 SQ METER GARDEN USING 136 SQ METERS OF WOOD WILL BE EXACTLY 2 METERS WIDE.

Answer 2

Answer: width of the path = 2 meters

Step-by-step explanation:

Let x be the widht.

So, now the area of new Rectangle after building wood path will be = (2x+10)×(2x+20)

Now, according to question

Area of wood path = 136

(2x+10)×(2x+20) - 200 = 136

on solving this equation

we will get two values of x

1. x= -17 (rejected)
2. x= 2 (which is the ans)