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the area of a recangular is 200 square feet the length is twice the width finds the dimeensions

2006-06-23 18:02:37 · 20 answers · asked by jrrkidd 1 in Science & Mathematics Mathematics

20 answers

L x W = 200
L = 2W

2W x W = 200
2W^2 = 200
W^2 = 100
W = 10
L = 2W = 20

2006-06-23 18:06:50 · answer #1 · answered by violet 5 · 0 0

Area is length times width. Call the width W.

The length of this rectangle is defined as 2 times W, and its area as 200 square feet, so 2 times W squared equals 200.

Divide both sides by 2: W squared equals 100.

Take the square root on both sides: W equals 10.

The length is 2W, or 20. The rectangle is 20 feet long and 10 feet wide.

2006-06-24 01:14:31 · answer #2 · answered by BroadwayPhil 4 · 0 0

20 by 10

2006-06-24 01:09:08 · answer #3 · answered by skip22h 3 · 0 0

20 x 10

2006-06-24 01:06:13 · answer #4 · answered by old timer 4 · 0 0

Area = 200
Area = Length * Width
if length = 2 * Width
therefore;
Area --> 2W*W = 200
2W^2 = 200
W^2 =100
W =(100)^1/2
W = 10

Length = 2W
Width = 20
Length -----> 10fts
Width ------> 20fts

2006-06-24 14:44:57 · answer #5 · answered by bz_co0l@rogers.com 3 · 0 0

Let x=width and y=length

This is what you can get out of the problem ------ xy=200 and 2x=y

Since 2x=y, plug 2x into the second equation for y ------ x(2x)=200

Multiply x times 2x ------ 2x squared=200

Divide by 2 ------ x squared=100

Take the square root of both sides ------ x=10

Now, go back to the other original equation (2x=y) and plug in 10 for x ------ 2(10)=y

Multiply 2 times 10 ------ 20=y

So, your answers are length=20 and width=10!

2006-06-24 01:16:45 · answer #6 · answered by miss robyn 2 · 0 0

width - 10 feet
length 20 feet

2006-06-24 03:56:16 · answer #7 · answered by hechnal 2 · 0 0

length * width = 200 ft^2
2x * x = 200 ft ^2

2x^2 = 200 ft^2
x^2 = 200/2 ft^2
x^2 = 100 ft^2
taking square root of both sides of the equation
x= 10 ft width

length = 2x = 2 * 10 = 20 ft

gimme 10 points

2006-06-24 01:10:21 · answer #8 · answered by behroz_ahmedali 2 · 0 0

width = 10
length= 20

2006-06-24 01:46:25 · answer #9 · answered by vbagdy 3 · 0 0

lenght=20 feet
width=10 feet

2006-06-24 01:45:52 · answer #10 · answered by Rahil Momin 2 · 0 0

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