SOLUTION: a rectangular garden is 49 ft and 35 ft wide. the garden is bordered by a rectangular walkway that is 56 ft long and 40 ft wide. is the garden area similar to the rectangle form

Algebra ->  Rectangles -> SOLUTION: a rectangular garden is 49 ft and 35 ft wide. the garden is bordered by a rectangular walkway that is 56 ft long and 40 ft wide. is the garden area similar to the rectangle form      Log On


   



Question 360023: a rectangular garden is 49 ft and 35 ft wide. the garden is bordered by a rectangular walkway that is 56 ft long and 40 ft wide.
is the garden area similar to the rectangle formed by the bordering walkway?
Find ration of perimeter of garden to perimeter of walkway.
Find ratio of area of garden to area of the garden including walkway.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
a rectangular garden is 49 ft and 35 ft wide. the garden is bordered by a rectangular walkway that is 56 ft long and 40 ft wide.
is the garden area similar to the rectangle formed by the bordering walkway?
Find ration of perimeter of garden to perimeter of walkway.
Find ratio of area of garden to area of the garden including walkway.
...
garden area = 49*35=1715 ft^2
...
garden with walkway area = 56*40 = 2200
...
area of walkway = 2200-1715=475 sq.ft
...
perimeter of garden = 2*(49+35)=168
..
perimeter with walkway= 2*(56+40)=192
..
ratio of perimeters = 168/192 = 0.87
..
ratio of area = 1715/2200 =0.78
..
m.ananth@hotmail.ca