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A rectangular park is 150m long and 70m wide

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A rectangular park is 150m long and 70m wide  [#permalink]

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New post 19 Nov 2019, 09:44
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A
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D
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  25% (medium)

Question Stats:

78% (01:24) correct 22% (01:16) wrong based on 17 sessions

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A rectangular park is 150m long and 70m wide. A path 5m wide is constructed outside the park. Find out the area of path.

(a) 2100 sq.m.
(b) 2200 sq.m.
(c) 2250 sq.m.
(d) 2300 sq.m.
(e) 2400 sq.m.

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A rectangular park is 150m long and 70m wide  [#permalink]

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New post Updated on: 19 Nov 2019, 10:17
to find the area of the path, you'd have to minus the bigger rectangle formed to the initial rectangle specified.
____150____
|.................|
70...............70
|__________|

The area of the first rectangle is = 150* 70 = 10,500

The path built is 5m long which encloses the above rectangle
_______________
|_|__________|_|
|_|..................|_|
|_|.................|80|
|_|__________|_|
|_____160_____ |

Making the new rectangles area to be 160*80 =12,800

The area of the path = area of new rectangle - area of old rectangle
= 12,800 - 10,500 = 2,300

Originally posted by JoelGeorge on 19 Nov 2019, 10:11.
Last edited by JoelGeorge on 19 Nov 2019, 10:17, edited 1 time in total.
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Re: A rectangular park is 150m long and 70m wide  [#permalink]

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New post 19 Nov 2019, 10:16
TheNightKing wrote:
A rectangular park is 150m long and 70m wide. A path 5m wide is constructed outside the park. Find out the area of path.

(a) 2100 sq.m.
(b) 2200 sq.m.
(c) 2250 sq.m.
(d) 2300 sq.m.
(e) 2400 sq.m.


Explanation: Current area of Path LxB= 150 * 70 = 10500 square metre
As we know, 5 meters is constructed outside the park, so L & B will be increased by 10m
New Area: L x B = 160*80= 12800

So the area increased by = New - Old
= 12800 - 10500 = 2300 sq.m.
Answer is D.

:please Please provide kudos, if you find my explanation good enough :please
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Re: A rectangular park is 150m long and 70m wide  [#permalink]

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New post 19 Nov 2019, 10:17
JoelGeorge wrote:
to find the area of the path, you'd have to minus the bigger rectangle formed to the initial rectangle specified.
____150____
|.................|
70...............70
|__________|

The area of the first triangle is = 150* 70 = 10,500

The path built is 5m long which encloses the above rectangle
_______________
|_|__________|_|
|_|..................|_|
|_|.................|80|
|_|__________|_|
|_____160_____ |

Making the new rectangles area to be 160*80 =12,800

The area of the path = area of new rectangle - area of old rectangle
= 12,800 - 10,500 = 2,300


Hello, Just so you know. You can solve this on a piece of paper, click the picture and upload on the forum.

Just so you can save this much of effort next time :)
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Re: A rectangular park is 150m long and 70m wide  [#permalink]

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New post 19 Nov 2019, 11:20
TheNightKing wrote:
A rectangular park is 150m long and 70m wide. A path 5m wide is constructed outside the park. Find out the area of path.

(a) 2100 sq.m.
(b) 2200 sq.m.
(c) 2250 sq.m.
(d) 2300 sq.m.
(e) 2400 sq.m.


\((150 +2*5)(70 + 2*5) - 150*70\)

\(= 12800 - 10500\)

\(= 2300\), Answer must be (D)
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Re: A rectangular park is 150m long and 70m wide   [#permalink] 19 Nov 2019, 11:20
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