SOLUTION: A square field with side 30m is surrounded by a path of uniform width.If the area of the path is 256m2,its width is....

Question 773662: A square field with side 30m is surrounded by a path of uniform width.If the area of the path is 256m2,its width is....
Answer by 303795(602) (Show Source): You can put this solution on YOUR website!
The area of the field is 30 x 30 = 900 square metres.
Add the area of the path to the area of the field to get a total area of 1156 square metres.
Find the square root of this area to give the outside dimensions of the field plus path.
square root (1156) = 34. This is 4 metres greater than the field dimensions so the path must therefore be 2 metres wide.
RELATED QUESTIONS
The perimeter of a square is 64 meters. If the field is surrounded by a running path of... (answered by macston)

A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. If the (answered by khwang)

A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. if the... (answered by Earlsdon)

a pool measuring 20 meters by 30 meters is surrounded by a path of uniform width. If the... (answered by checkley77,mananth)

A pool measures 10 meters by 20 meters is surrounded by a path of uniform width. If the... (answered by josmiceli)

A pool measuring 10 meters by 16 meters is surrounded by a path of uniform width. If the... (answered by pedjajov)

A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width if the... (answered by josgarithmetic,MathTherapy)

a rectangular pool measuring 10 meters by 20 meters is surrounded by a path of uniform... (answered by josgarithmetic)

a pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. if the... (answered by Alan3354,algebra hello,fractalier)