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A boy is photocopying a rectangular poster. He sets the copier to incr
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09 Jun 2021, 00:40
09 Jun 2021, 00:40
Expert Reply
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Question Stats:
93% (01:04) correct
6% (01:40) wrong based on 30 sessions
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A boy is photocopying a rectangular poster. He sets the copier to increase the length of the poster by 30% and the width of the poster by 40%. The increase in the area of the poster is equal to x%. What is the value of x?
68
70
75
78
82
68
70
75
78
82
Re: A boy is photocopying a rectangular poster. He sets the copier to incr
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09 Jun 2021, 01:39
09 Jun 2021, 01:39
1
let initial length and width be x,y
length increase by 30% = 1.3x
width increase by 40% = 1.4y
new area = 1.3x * 1.4y =1.82xy
therefore increase in area is 82 %
option E is correct
length increase by 30% = 1.3x
width increase by 40% = 1.4y
new area = 1.3x * 1.4y =1.82xy
therefore increase in area is 82 %
option E is correct
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Re: A boy is photocopying a rectangular poster. He sets the copier to incr
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11 Nov 2021, 12:24
11 Nov 2021, 12:24
Carcass wrote:
A boy is photocopying a rectangular poster. He sets the copier to increase the length of the poster by 30% and the width of the poster by 40%. The increase in the area of the poster is equal to x%. What is the value of x?
68
70
75
78
82
68
70
75
78
82
Let's say the ORIGINAL poster has length 10 and width 10
So the original area = (10)(10) = 100 square units
Since length is increased by 30%, and the width is increased by 40%, the ENLARGED poster has length 13 and width 14.
So the ENLARGED area = (13)(14) = 182 square units
Percent increase = (100)(new - old)/old
= (100)(182 - 100)/100
= (100)(82)/100
= 82%
Answer: E
