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# A rectangular field of size 10m x 4m as shown in the figure

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Senior Manager
Joined: 17 Oct 2016
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A rectangular field of size 10m x 4m as shown in the figure  [#permalink]

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29 Nov 2017, 05:11
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Difficulty:

55% (hard)

Question Stats:

65% (02:35) correct 35% (02:57) wrong based on 41 sessions

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A rectangular field of size 10m x 4m as shown in the figure has a walkway of width 0.5m at the center in both directions. If the cost of paving the area other than the walkway is 5\$ per sqm what is the total cost incurred?

A. 160.25
B. 166.25
C. 166.00
D. 160.00
E. 162.50

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Re: A rectangular field of size 10m x 4m as shown in the figure  [#permalink]

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29 Nov 2017, 06:44
area of the field without the walkway would be 3.5m and 9.5m
area is now = 33.25 and at \$5/sqm = 166.25
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Re: A rectangular field of size 10m x 4m as shown in the figure  [#permalink]

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22 Oct 2018, 10:57
Top Contributor
Sasindran wrote:
A rectangular field of size 10m x 4m as shown in the figure has a walkway of width 0.5m at the center in both directions. If the cost of paving the area other than the walkway is 5\$ per sqm what is the total cost incurred?

A. 160.25
B. 166.25
C. 166.00
D. 160.00
E. 162.50

First determine the total area of the walkway.
To do this, we'll divide the walkway into 3 rectangles as follows:

Aside: We assigned some nice dimensions that adhere to the conditions provided in the question.

Area of rectangle = (base)(height)

Area of RED rectangle = (10)(0.5) = 5
Area of GREEN rectangle = (1.5)(0.5) = 0.75
Area of BLUE rectangle = (2)(0.5) = 1
TOTAL area of walkway = 5 + 0.75 + 1 = 6.75 square meters

Total area of non-walkway portion = (total area of field) - (total area of walkway)
= (10)(4) - 6.75
= 40 - 6.75
= 33.25

If the cost of paving the area other than the walkway is 5\$ per sqm what is the total cost incurred?
Cost = (5)(33.25)
= 166.25

Cheers,
Brent
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Re: A rectangular field of size 10m x 4m as shown in the figure  [#permalink]

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22 Oct 2018, 22:37
Sasindran wrote:
A rectangular field of size 10m x 4m as shown in the figure has a walkway of width 0.5m at the center in both directions. If the cost of paving the area other than the walkway is 5\$ per sqm what is the total cost incurred?

Posted from my mobile device

Area of the field without walkway = 10 x 4 - (10 x 0.5 + 4 x 0.5 - 0.5 x 0.5) = 40 - (5 + 2 - 0.25) = 40 - 6.75 = 33.25 m^2
Hence, the total cost = 33.25 x 5 = \$166.25 (choice B)
Re: A rectangular field of size 10m x 4m as shown in the figure   [#permalink] 22 Oct 2018, 22:37
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