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The perimeter of PRST is 10 more than 5(RS). If PR=36, find RS.
I've tried so many equations, just can't figure it out.
Thanks, and excuse my sloppy renditions.
2006-09-10 15:53:15 · 8 answers · asked by ? 2 in Education & Reference ➔ Homework Help
How am I cheating? I completed my homework yesterday but I didn't understand a few problems. Am I being a bad student by trying to figure them out? If I didn't care I could just write down the answer that is in the back of the book and be done with it.
2006-09-10 15:58:41 · update #1
RS=14, I just dont' know how to get it.
2006-09-10 15:59:52 · update #2
The answers above keep changing.
First math girl said 24, now, she has corrected it to 20 2/3
The other 24 answer I do not get.
Everyone left out steps.
call PR and TS = A
call RS and TP = B
..______B?___
..|........................ |
..|........................ |
A|36.....................|A36
..|___________|
..............B?
mathgirl has the correct equation
2 A + 2 B = 5 B + 10 ( the perimeter is equal to 5 times side B
............................... +10 more )
A = 36
2 ( 36) + 2 B = 5B + 10
72 + 2B = 5B + 10
72 + 2B -10 = 5B + 10 - 10
2B + 72 - 10 = 5 B
2B + 62 = 5 B
2B + 62 - 2B = 5B - 2B
62 = 3 B
62 / 3 = 3B / 3
20 2/3 = B
CHECK
2 ( 36 ) + 2 ( 20 2/3 ) = 5 ( 20 2/3 ) + 10
72 + 41.33333 = 5 ( 20 2/3 ) + 10
72 + 41.33333 = 103.33333 + 10
113.33333 = 113. 33333
If you use the answer in the book, you get, as a check,
72 + ( 2 x 14 ) = 5 (14 ) + 10
72 + 28 = 70 + 10
100 = 80
which is wrong
the book lies...
hope this helps clear the equation up a bit...
2006-09-10 17:39:54 · answer #1 · answered by outgoingtraffic 2 · 1⤊ 0⤋
PRST=10+5(RS)
PR=36
36+2RS+36=10+5(RS)
2RS+72=10+5(RS)
62=3(RS)
24=RS
As the rectangle has equal sides for PR and ST (per your diagram) as well as RS and TP, just pop in the value for both and solve. Don't forget that perimiter is all sides (like I just did). I think it may be a typo in the back of your book if it says 14.
2006-09-10 16:00:24 · answer #2 · answered by victorygirl 3 · 0⤊ 0⤋
I'm assuming PRST is a parallelogram.
Let x = length of PT, then it follows that x = length of RS
Let y = length of PR, then y = length of ST
The perimeter is
P = 2x + 2y so
2x + 2y = 10 + 5x
Subtract 2x from each side
2y = 3x + 10
You are given that PR = 36, so that means y = 36
2(36) = 3x + 10
72 = 3x + 10
62 = 3x
62/3 = x
2006-09-10 15:58:10 · answer #3 · answered by MsMath 7 · 0⤊ 0⤋
1st seem for opportunities to do eliminating. in case you upload eq1 and eq3, both x and y drop out, supplying you with x - y + z = 0 -x + y -2z = -2 ----------------- ......... -z = -2, so z = 2 2 variables dropping by the wayside rapidly is a nontypical present. upload eq2 and 2(eq3) and y drops out: 3x - 2y + 6z = 9 -2x + 2y - 4z = -4 ----------------------- x .......... + 2z = 5 ............... now plug in z = 2 x + 4 = 5 x = a million now plug x = a million and z = 2 into eq1 a million - y + 2 = 0 3 - y = 0 y = 3 You upload multiples of equations to make variables drop out, many times a million variable at a time.
2016-10-16 00:02:22 · answer #4 · answered by Anonymous · 0⤊ 0⤋
no clue! my guess is 50 and I multiplied 10 times 5 that may be so far off base it isn't even funny! I want to know the answer too. I suck at math.
2006-09-10 15:57:03 · answer #5 · answered by doesitmatter 4 · 0⤊ 1⤋
Is this a rectangle or a square?
2006-09-10 16:02:23 · answer #6 · answered by Rozz 3 · 0⤊ 0⤋
that would be cheating!! do your own homework or let your dog eat it
2006-09-10 15:55:59 · answer #7 · answered by keepingthefaith 5 · 0⤊ 1⤋
not enough information... if its a rectangle i can do it.
2006-09-10 15:58:10 · answer #8 · answered by tkachuk51 3 · 0⤊ 0⤋