<PRE><B>Question 972505</B>
Your neighbor has put in a 18 by 51 foot garden along the whole back end of their back yard.
 This reduced the back yard lawn area by 24%.
 What are the total dimensions of his back yard?
 What are the dimensions of the remaining lawn area?
:
Find the area of the garden; 18 * 51 = 918 sq/ft
We know the width of the yard is 51 ft
let L = the total length of the yard including the garden
then
51L = the area of the whole yard
:
Find the length of the yard
24% of the whole yard = the garden area
.24(51L) = 918
12.24L = 918
L = 918/12.24
L = 75 ft is the length of the whole yard
therefore
75 by 51 is dimensions of the back yard
:
Find the dimensions of the remaining lawn 
75 - 18 = 57 ft is length
57 by 51 is dimensions of the remaining lawn
:
:
:
See if this checks out,
find the overall area: 75 * 51 = 3825 sq/ft 
find the area of the remaining lawn, add to the garden area
57 * 51 = 2907
2907 + 918 = 3825</PRE>