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555-605 (Medium)|   Geometry|      
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Bunuel
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On a rectangular plot of land 60 meters wide and 80 meters long, the 13 Jun 2019, 00:14
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64% (01:33) correct 36% (01:48) wrong based on 165 sessions

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On a rectangular plot of land 60 meters wide and 80 meters long, the owner wants to install a road 5 meters wide around the perimeter of the entire property, entirely contained within the property. What will be the surface area of that road?


(A) 675
(B) 1,300
(C) 1,400
(D) 1,500
(E) 1,675
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B
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On a rectangular plot of land 60 meters wide and 80 meters long, the Updated on: 13 Jun 2019, 22:02
Originally posted by Lampard42 on 13 Jun 2019, 02:29.
Last edited by Lampard42 on 13 Jun 2019, 22:02, edited 2 times in total.
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Bunuel
On a rectangular plot of land 60 meters wide and 80 meters long, the owner wants to install a road 5 meters wide around the perimeter of the entire property, entirely contained within the property. What will be the surface area of that road?


(A) 675
(B) 1,300
(C) 1,400
(D) 1,500
(E) 1,675
Show more

Area of the plot = 80*60=4800
Area of the (plot-road) = (80-5*2)*(60-5*2) = 3500 ( as within the property)
So Area of road = 1300 IMO B
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On a rectangular plot of land 60 meters wide and 80 meters long, the 13 Jun 2019, 02:49
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80*60 - 70*50 = 4800 - 3500 = 1300

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On a rectangular plot of land 60 meters wide and 80 meters long, the 13 Jun 2019, 03:29
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Bunuel
On a rectangular plot of land 60 meters wide and 80 meters long, the owner wants to install a road 5 meters wide around the perimeter of the entire property, entirely contained within the property. What will be the surface area of that road?


(A) 675
(B) 1,300
(C) 1,400
(D) 1,500
(E) 1,675
Show more

total area = 80*60 ; 4800
and of road inside will reduce the l to 70 and w to 50; 3500
4800-3500 = 1300 area of road
IMO B
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On a rectangular plot of land 60 meters wide and 80 meters long, the 16 Jun 2019, 20:13
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hi ,

Why is the length 80-10 and width 60- 10 rather than 80-5 and 60-5 ? I am missing something here

Thanks



Archit3110
Bunuel
On a rectangular plot of land 60 meters wide and 80 meters long, the owner wants to install a road 5 meters wide around the perimeter of the entire property, entirely contained within the property. What will be the surface area of that road?


(A) 675
(B) 1,300
(C) 1,400
(D) 1,500
(E) 1,675

total area = 80*60 ; 4800
and of road inside will reduce the l to 70 and w to 50; 3500
4800-3500 = 1300 area of road
IMO B
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On a rectangular plot of land 60 meters wide and 80 meters long, the 16 Jun 2019, 21:46
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Rose2012
hi ,

Why is the length 80-10 and width 60- 10 rather than 80-5 and 60-5 ? I am missing something here

Thanks



Archit3110
Bunuel
On a rectangular plot of land 60 meters wide and 80 meters long, the owner wants to install a road 5 meters wide around the perimeter of the entire property, entirely contained within the property. What will be the surface area of that road?


(A) 675
(B) 1,300
(C) 1,400
(D) 1,500
(E) 1,675

total area = 80*60 ; 4800
and of road inside will reduce the l to 70 and w to 50; 3500
4800-3500 = 1300 area of road
IMO B
Show more

Rose2012 this question is similar to a picture frame question. The point is when the length on 2 sides get shortened by 5 the width gets shortened by 10. Similarly for length. So we do 2*reduction.

Hope this helps! I have attached a pic to understand it better

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7FB6B90E-B52F-4D09-9F50-6B953B7C3A86.jpeg
7FB6B90E-B52F-4D09-9F50-6B953B7C3A86.jpeg [ 2.28 MiB | Viewed 5391 times ]

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On a rectangular plot of land 60 meters wide and 80 meters long, the 26 Dec 2022, 14:29
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