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The perimeter of a flat rectangular lawn is 42 meters. The width of th

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The perimeter of a flat rectangular lawn is 42 meters. The width of th  [#permalink]

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New post 12 Jul 2018, 04:44
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The perimeter of a flat rectangular lawn is 42 meters. The width of the lawn is 75 percent of its length. What is the area of the lawn, in square meters?

A) 40.5
B) 96
C) 108
D) 192
E) 432

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Re: The perimeter of a flat rectangular lawn is 42 meters. The width of th  [#permalink]

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New post 12 Jul 2018, 04:52
Let's say:
Length=x
Width=0.75x
Perimeter=2x+2*(0.75x)=42
x=12

Length=12 width=9

IMO
Ans: C
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The perimeter of a flat rectangular lawn is 42 meters. The width of th  [#permalink]

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New post Updated on: 12 Jul 2018, 06:17
Bunuel wrote:
The perimeter of a flat rectangular lawn is 42 meters. The width of the lawn is 75 percent of its length. What is the area of the lawn, in square meters?

A) 40.5
B) 96
C) 108
D) 192
E) 432



Given Data:

Item = rectangular .
Perimeter = 42 meters

we know that perimeter of a rectangular = 2x + 2y where x is the length and y s the width.

2x + 2y = 42
x+ y = 21........................................1

Note : width is 75% of the length .

So,

x + 75% of x = 21

x + (3x / 4) = 21
7x = 84
x = 12.

so y = 9

we know ,

area of a rectangular = width * length = 9*12 = 108

The best answer is C.

Originally posted by selim on 12 Jul 2018, 05:06.
Last edited by selim on 12 Jul 2018, 06:17, edited 1 time in total.
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Re: The perimeter of a flat rectangular lawn is 42 meters. The width of th  [#permalink]

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New post 12 Jul 2018, 05:51
Bunuel wrote:
The perimeter of a flat rectangular lawn is 42 meters. The width of the lawn is 75 percent of its length. What is the area of the lawn, in square meters?

A) 40.5
B) 96
C) 108
D) 192
E) 432


If the length of the lawn is 4x, the width will be 75% or \(\frac{3}{4}\)th of the length. Therefore, width of the lawn = \(\frac{3}{4}\)(4x) = 3x.

The perimeter is given to be 42 meters. Perimeter of a rectangle = 2(l + b) = 2(4x + 3x) = 14x.
42 = 14x
x = 3

Area = l x b = (4x)(3x) = 12\(x^2\) = 12(9) = 108
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Re: The perimeter of a flat rectangular lawn is 42 meters. The width of th  [#permalink]

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New post 12 Jul 2018, 06:36
Bunuel wrote:
The perimeter of a flat rectangular lawn is 42 meters. The width of the lawn is 75 percent of its length. What is the area of the lawn, in square meters?

A) 40.5
B) 96
C) 108
D) 192
E) 432

Let Length be 4 so width be 3
So, Perimeter will be 2*(4+3) = 14

Now 14 represents 42, so Length is 12 units and breadth is 9 units.

Thus, Area will be 108 Units, Answer must be (C)
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Re: The perimeter of a flat rectangular lawn is 42 meters. The width of th &nbs [#permalink] 12 Jul 2018, 06:36
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