+0  
 
0
92
1
avatar

A rectangular field is 16m long and 10m wide . there is a path of uniform width all around it having an area of 120 m² .find the width of the path​

 Mar 20, 2021
 #1
avatar+121000 
+1

We  have four squares with sides  of  w  , two  rectangles  of 10w  and two rectangles of 16w

 

So...we  have

 

4w^2  +  2( 10w)  + 2(16w)  = 120

 

4w^2  + 20w  + 32w   = 120

 

4w^2  + 52w  = 120        divide  through  by 4

 

w^2  + 13w  = 30           rearrange  as

 

w^2  + 13w  - 30 = 0        factor as

 

(w  + 15) ( w - 2)  = 0

 

The second factor  set to 0 is what we  need

 

w  - 2  = 0

 

w = 2  ft  = width of  the path

 

 

cool cool cool

 Mar 20, 2021

23 Online Users

avatar