# Thread: length 4 times width; find perim if area is 144; find 2 cons

1. ## Re: Problems

length is four times the width ...

this tells you that L = 4W

area is 144 cm[sup:3r4zhovu]2[/sup:3r4zhovu] ...

this tell you that length times width = 144, or LW = 144

substitute 4W for L in the area equation ...

4W(W) = 144
4W[sup:3r4zhovu]2[/sup:3r4zhovu] = 144
W[sup:3r4zhovu]2[/sup:3r4zhovu] = 36
W = 6

now you know what W is, what is the value of L ?

once you find out, substitute those values into the perimeter equation, P = 2(L + W)

2. ## Re: Problems

Originally Posted by skeeter
length is four times the width ...

this tells you that L = 4W

area is 144 cm[sup:32tbqvt2]2[/sup:32tbqvt2] ...

this tell you that length times width = 144, or LW = 144

substitute 4W for L in the area equation ...

4W(W) = 144
4W[sup:32tbqvt2]2[/sup:32tbqvt2] = 144
W[sup:32tbqvt2]2[/sup:32tbqvt2] = 36
W = 6

now you know what W is, what is the value of L ?

once you find out, substitute those values into the perimeter equation, P = 2(L + W)

Ok I am rusty at this but thanks

L=24

so therefore P= 2(24+6)
P= 60

3. ## Re: Problems

the consective odd numbers for 56 is what?

4. ## Re: Problems

let x = the first odd integer
then x+2 = the next consecutive odd integer

the sum is 56 ... set up an equation and solve for x, then determine x+2.

5. ## Re: Problems

Originally Posted by skeeter
let x = the first odd integer
then x+2 = the next consecutive odd integer

the sum is 56 ... set up an equation and solve for x, then determine x+2.

Got 28 & 30

6. ## Re: Problems

1) 28 + 30 = 58 NOT 56.
2) Both 28 and 30 are EVEN not ODD.
3) You're still just guessing.

Write clear definitions so you never are confused.
Write complete equations so everyone can understand.
Write every step so you can retrace
Check your results against the ORIGINAL problem statement.

7. ## Re: Problems

Originally Posted by tkhunny
1) 28 + 30 = 58 NOT 56.
2) Both 28 and 30 are EVEN not ODD.
3) You're still just guessing.

Write clear definitions so you never are confused.
Write complete equations so everyone can understand.
Write every step so you can retrace
Check your results against the ORIGINAL problem statement.
n+(n+2)=56
n+n+2+56
2n+2-2=56-2
2n=54
n=27, 28

I hope this is correct now

8. ## Re: Problems

n = 27

n+2 = ?

... two consecutive odd integers, remember?

9. ## Re: Problems

Originally Posted by taragbeh
n=27, 28
You have forgotten this: "Write clear definitions so you never are confused."

If you had this staring at you on the page:

n = the lesser of my two odd integers
n + 2 = the greater of my two odd integers

I am almost certain you would not have made that mistake.

Write Clear Definitions.

10. ## Re: Problems

Originally Posted by tkhunny
Originally Posted by taragbeh
n=27, 28
You have forgotten this: "Write clear definitions so you never are confused."

If you had this staring at you on the page:

n = the lesser of my two odd integers
n + 2 = the greater of my two odd integers

I am almost certain you would not have made that mistake.

Write Clear Definitions.
sorry was an wrrot N+2 should = 29

typo error.

Thanks you all for the help

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