Thread: area of the path

A rectangular grass lawn. 30m by 24m has a concrete path 2m
around inside it. What is the areas of the path?


Can anybody explain and illustrate what the problem means?


in my attempt: 3o m x 24 m = Area

and what about the 2m path ... how it is being done?

Draw a diagram, and look at the area of the rectangular area of grass and concrete, and subtract the rectangular area of the grass. What are the dimensions of both?

If I understand your question correctly, the path is 2m wide and is aligned with its outside edge coincident with the outsode edge of the 24m x 30m area, correct? To determine the area of the path you can approach it in two ways. First, draw a sketch, label the dimensions of the path, and you will have 4 rectangular sections - to find the total area of the path find the area of each section and add them up. An alternative approach is to consider that the area interior to the path is a rectangle that is 26m x 20m, and the area of the path is the difference between the overall area of 30 x 24m and this interior area.

Originally Posted by MarkFL2

Draw a diagram, and look at the area of the rectangular area of grass and concrete, and subtract the rectangular area of the grass. What are the dimensions of both?

can i ask favor sir ? if you could draw it.... please...

Originally Posted by rcs

can i ask favor sir ? if you could draw it.... please...

See here for a similar picture.

Originally Posted by emakarov

See here for a similar picture.

can this be the answer: 2(2x30) m^2 + 2(2x20) m^2 = 200 m^2 for the area of the path?

Originally Posted by rcs

can this be the answer: 2(2x30) m^2 + 2(2x20) m^2 = 200 m^2 for the area of the path?

Yes, that's it.

Now that you have done it yourself (very nicely), a simpler way to think about it is this: draw a 30 by 24 rectangle and then draw a line 2 inside each side to represent the walk way. Do you see that, because you are using 2 m on each side for the walk, the area left for the garden itself is 2 m on each side smaller? This gives a smaller rectangle with length and width 30- 2(2)= 26 and 24- 2(2)= 20 m?

The larger rectangle has area 30(2)= 720 square feet while the smaller "garden" area is 26(20)= 520 square meters. That leaves 720- 520= 200 square meters, as you get, for the path.

Thank you all