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The width of a rectangular flower bed is 20 feet shorter than its leng

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Sajjad1994
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The width of a rectangular flower bed is 20 feet shorter than its leng [#permalink] New post   30 May 2020, 05:07
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The width of a rectangular flower bed is 20 feet shorter than its length. If the perimeter of the flower bed is 120 feet, what is the area, in square feet, of the flower bed?

a) 800
b) 1,200
c) 1,800
d) 3,500
e) 3,600
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A
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Re: The width of a rectangular flower bed is 20 feet shorter than its leng [#permalink] New post   30 May 2020, 05:14
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SajjadAhmad wrote:
The width of a rectangular flower bed is 20 feet shorter than its length. If the perimeter of the flower bed is 120 feet, what is the area, in square feet, of the flower bed?

a) 800
b) 1,200
c) 1,800
d) 3,500
e) 3,600


L = x
B = x-20

Perimeter = 2*(L+B) = 120

2*(x+x-20) = 120

2x - 20 = 60
i.e. x = 40

i.e .Area = L*B = 40*20 = 800

Answer: Option A
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Re: The width of a rectangular flower bed is 20 feet shorter than its leng [#permalink] New post   30 May 2020, 05:23
Breadth is 20 feet less than length. L= B+20
Perimeter= 2(Length+Breadth)
=> 2(B+20+B) = 120
=> 2B+20 = 60
=> 2B = 40 => B = 20 & L=20+B
=> L=40
=> AREA = L*B => 40*20
=> Area = 800

Answer is A

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Re: The width of a rectangular flower bed is 20 feet shorter than its leng [#permalink] New post   30 May 2020, 06:07
A

Lets length be l, width be b

Given: b=l-20
& Perimeter =120
2(l+b) = 120
or (l+b) = 60
or l + l -20 = 60
=> l =40; b =20
Area = l*b = 40*20 = 800
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Re: The width of a rectangular flower bed is 20 feet shorter than its leng [#permalink] New post   30 May 2020, 08:16
SajjadAhmad wrote:
The width of a rectangular flower bed is 20 feet shorter than its length. If the perimeter of the flower bed is 120 feet, what is the area, in square feet, of the flower bed?

a) 800
b) 1,200
c) 1,800
d) 3,500
e) 3,600
Think a bit , let L = 40 and B = 20

So, P = 2 ( 40 + 20 ) => 120

Thus, Area will be 40*20 = 800 , Answer must be (A)
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Re: The width of a rectangular flower bed is 20 feet shorter than its leng [#permalink]
30 May 2020, 08:16
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