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555-605 (Medium)|   Geometry|      
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saswata4s
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Rectangular floor x is to be half as long as it is wide 08 Apr 2017, 05:43
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25% (medium)

Question Stats:

69% (01:07) correct 31% (01:04) wrong based on 65 sessions

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Rectangular floor x is to be half as long as it is wide. If its perimeter is to be 240 yards, what is the length of the floor?

(A) 20 yards
(B) 40 yards
(C) 60 yards
(D) 80 yards
(E) 120 yards
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B
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Rectangular floor x is to be half as long as it is wide 08 Apr 2017, 07:48
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saswata4s
Rectangular floor x is to be half as long as it is wide. If its perimeter is to be 240 yards, what is the length of the floor?

(A) 20 yards
(B) 40 yards
(C) 60 yards
(D) 80 yards
(E) 120 yards
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How is the answer B. Should'nt it be D.

HAlf as long as wide => L/2 = W

L= 2W

Perimeter = 2(L+W) = 240

2(3W)= 240

W= 40

=> L=2W = 2 * 40 = 80.
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Rectangular floor x is to be half as long as it is wide 09 Apr 2017, 08:00
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saswata4s
Rectangular floor x is to be half as long as it is wide. If its perimeter is to be 240 yards, what is the length of the floor?

(A) 20 yards
(B) 40 yards
(C) 60 yards
(D) 80 yards
(E) 120 yards
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Assume Length = x, Width = 2x

Perimeter = sum of all sides = x + 2x + x + 2x = 6x
6x = 240, x = 40

Correct Option: B
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Rectangular floor x is to be half as long as it is wide 10 Apr 2017, 20:24
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Hi saswata4s,

This question can be solved rather easily by TESTing THE ANSWERS.

We're told that the PERIMETER of a rectangle is 240 yards (this means that 2L + 2W = 240). We're also told that the length is HALF of the width. We're asked to find the length of the rectangle.

Since the length is the SHORTER measure and the total perimeter is just 240 yards, we should TEST one of the smaller answers first...

Let's TEST Answer B: 40 yards

IF the length is 40 yards...
and the length is HALF of the width....
then the width is 80 yards...
which makes the total perimeter 40+40+80+80 = 240. This is an exact MATCH for what we were told, so this MUST be the answer.

Final Answer:
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B

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Rectangular floor x is to be half as long as it is wide 18 Apr 2017, 16:13
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saswata4s
Rectangular floor x is to be half as long as it is wide. If its perimeter is to be 240 yards, what is the length of the floor?

(A) 20 yards
(B) 40 yards
(C) 60 yards
(D) 80 yards
(E) 120 yards
Show more

We can let the width of the floor = w and the length of the floor = (1/2)w.

We can use the perimeter formula to determine w and then determine the length.

2(length) + 2(width) = perimeter

2 x (1/2)w + 2w = 240

w + 2w = 240

3w = 240

w = 80

Thus, the length is 1/2 x 80 = 40.

Answer: B
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Rectangular floor x is to be half as long as it is wide 07 May 2021, 00:41
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