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The length of a rectangle is 2 more than twice its width. The area of the rectangle is 60 square units. What is the width of the rectangle?
A) 12 units

B) 17 units

C) 6 units

D) 5 units

2007-06-04 03:03:27 · 10 answers · asked by Anonymous in Science & Mathematics Mathematics

10 answers

D
5*2+2=12
12*5=60

2007-06-04 03:07:20 · answer #1 · answered by pito16places 3 · 1 0

Answer is D) 5 units.
How I arrived at this answer:
Let the width be x.
Let the lenth by 2x + 2.
So the area is x(2x +2) = 60
You can solve this as you solve quadratic equations.
The answe you'll get for x is 5 and -6.
-6 is impossible for the width, so the answer is 5 units.
Hope this helps.

2007-06-04 10:10:03 · answer #2 · answered by Saman 2 · 1 0

let b=x

l=2x+2

2(2x+2)=60

2x^2+2x-60=0

x^2+x-30=0

(x+6)(x-5)

x=5 units

2007-06-04 10:11:59 · answer #3 · answered by Anonymous · 0 0

x(2x+2)=60

2x^2+2x-60=0

2(x^2+x-30)=0

2(x+6)(x-5)=0

x=5 and -6

since width can't be negative the answer is d. 5

2007-06-04 10:09:19 · answer #4 · answered by Adam A 2 · 1 0

l=2+2w
A=l*w

60=(2+2w)*w
60=2w+2w^2 (divide all by 2)
30=w+w^2
0=w^2+w-30
0=(w+6)(w-5)
w=-6 or 5
since width is not negative, the width is 5 - answer D

2007-06-04 10:25:12 · answer #5 · answered by hrhbg 3 · 0 0

width is the unknown (x)

A(rectangle) = length x width
60 = (2x+2)(x)
60 = 2x^2 + 2x
30 = x^2 + x
0 = x^2 + x - 30
0 = (x - 6)(x + 5) ----------> x = 6 or -5

So, x = 6 units --------> C

2007-06-04 10:09:29 · answer #6 · answered by preichwein 3 · 0 4

D x * (2x+2) = 60.........2x^2+ 2x - 60 = 0
( x - 5 )(2 x +12 ) = 0 ....x=5

2007-06-04 10:37:03 · answer #7 · answered by pioneers 5 · 0 0

D

60=(2x+2)(x)
60=2x^2+2x
30=x^2+x
30=25+5

SO x must = 5.

2007-06-04 10:15:15 · answer #8 · answered by smilestace2001 2 · 0 0

let width = w
length = 2w + 2
w.(2w + 2) = 60
2w² + 2w - 60 = 0
w² + w - 30 = 0
(w + 6).(w - 5) = 0
w = 5
ANSWER D)

2007-06-04 11:32:39 · answer #9 · answered by Como 7 · 0 0

I think it's A

2007-06-04 10:07:58 · answer #10 · answered by Anonymous · 0 3

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