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a rectangle has a width (w meters) and a perimeter of 72 meters. what is the length?

2007-01-22 17:56:24 · 11 answers · asked by Anonymous in Science & Mathematics Mathematics

11 answers

(72-2w)/2=36-w

2007-01-22 19:30:29 · answer #1 · answered by Misumi Nagisa fan xD 2 · 0 0

The formula for the perimeter of a rectangle is

P = 2L + 2W

where P is the perimeter, L is the length, and W is the width.

Since we know the perimeter and width, we plug in these values accordingly. P = 72 and W = w, so

72 = 2L + 2w

Now, we need to solve for the length, L.
Bring the 2w to the left hand side.

72 - 2w = 2L

Now, divide both sides by 2.

(72 - 2w)/2 = L

Notice that 72 and 2 are both even numbers, so we can reduce the left hand side.

36 - w = L

2007-01-22 18:00:54 · answer #2 · answered by Puggy 7 · 0 0

Yum, word problems! To find the length, you know the perimeter of a rectangle is PERIMETER= 2(LENGTH) + 2(WIDTH). As you have stated, the perimeter is 72, so your equation should look something like this...
72 = 2(width) + 2(length)

Since you want to find the length, just divide both sides by 2

36 = width + length

Then subtract width on both side to get just lengh.
36 - width = length

=) Hope that helps you!!

2007-01-22 18:02:59 · answer #3 · answered by Anonymous · 0 0

Since you don't specify the width as a number, you can only find the length in terms of the perimeter and the variable w.


L = (P - 2W) / 2

2007-01-22 18:02:46 · answer #4 · answered by z_o_r_r_o 6 · 0 0

72 divided by 4

2007-01-22 18:00:15 · answer #5 · answered by fuzz_bucket06 2 · 0 0

the perimeter is equal to 2widths + 2 lengths

so 1 length = (perimeter-2widths)/2

2007-01-22 18:30:21 · answer #6 · answered by maussy 7 · 0 0

perimeter= l+l+w+w
l=length
w=width
=2l+2w
=2(l+w)
perimeter=72
then
2(l+w)=72
l+w=72/2
l+w=36

l=36-w

2007-01-22 18:54:51 · answer #7 · answered by monkeyinthepark 1 · 0 0

ok, you are able to desire to get the bases in the two facets to be the comparable. right here you are able to write 25 as 5^2, and so the equation could now be 5^(6x)=5^2(2x-4) => 5^(6x)=5^(4x-8). Now that the bases are the comparable this suggests that the exponents could desire to be the comparable, so which you examine the exponents, 6x = 4x - 8. Now you remedy for x: 6x = 4x - 8 => 6x - 4x = -8 => 2x = -8 => x = -4 subsequently, the answer to the equation is x = -4.

2016-12-16 15:14:44 · answer #8 · answered by ? 4 · 0 0

2w+2length=72
2length=72-2w
length=36-w

2007-01-22 18:00:48 · answer #9 · answered by Lena 1 · 0 0

36 - w

2007-01-22 18:04:11 · answer #10 · answered by Rickey 1 · 0 0

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