not to be able to solve this maths problem for my Y7 DD?Plz help!!

[lupo5]

Here I am again..She is Y7 and this is really hard homework.She likes her maths and she solved all other problems but this is one of the hardest and I am totally confused.
If anyone can help plz,you would make our lives so much easier...
Question goes like this:

Two rectangular flower beds are made so that each has the same sized perimeter. The first has dimensions (3p+2) meters by (2p+1) meters.
The second has dimensions (p+8) meters by (2p+3).

A) Use this information to form an equation.
B) Solve this equation to find the perimeter of each flower bed.
C) State the dimensions of each flower bed.

Please please help.... thank you

3p+2 X 2p+1 p+8 x 2p +3

6p + 3 3p+11

Thanks deargirl.
You made me even more confused.
Please make it more clearer .Thank you sooooo much

I'm glad someone's answered so quickly but I'd suggest she asks the teacher to talk her through the answer to ensure she understands fully.

Its so hard ,even for me...

8p+ 6= 6p+ 22
8p = 6p + 16
2p= 16
P= 8?

I would put an equals between the equations bring across the ps and work out the value of p. then sub that number into the initial question to get the dimensions.

it has been over a decade since I've done maths though

The 1st rectangle has 2 sides of (3p + 2) and 2 sides of (2p+1)
The 2nd rectangle has 2 sides of (p+8) and 2 sides of (p+3)

so equation is
(3p + 2)2 +(2p+1)2 = (p+8)2 + (p+3)2

You need to ADD not multiply.

Add the sides of bed A.
Add the sides of bed B.

They are equal.
Tell herTo get to this stage and come back and post what she has if she can't then work it out herself.

There is no point in just giving her the answer.
Give her a prod in the right direction and let her think about it.

I would do the same as pudcat

missed a 2 out of last bracket
Then you do the calculations - mulitply the numbers in the brackets by 2
you get
6p+4 + 4p +1 = 2p +16 + 4p+6

I made a mistake!!
Get her to draw the beds and write the equation on each side. Then gather all the 'p's and numbers together.

The first flower bed has 10p and 6
The second bed has 6 p and 22

So 10p + 6 = 6p + 22

Then you have to get p on one side of the = so take 6 away from each side to get

10p = 6p + 16

Then take the 6 p away to you get
4p = 16

Then you need to get one p so you divide both sides by 4
P= 4

I can't multiply lol 6p+4 + 4p +2 = 2p +16 + 4p+6

Thank you so much.I don't want to show her answer but I need to know it (not very clever ). Not even sure what to do?
Is that answer fora , b or c?

I did:
3p+2 x 2p+1 = p+8x2p+3
6p+2=2p+24
3p+2=24
3p=12
p=4
Then work out your measurements using the number 4 as P. (but I haven't done this sort of maths in 15 years so may be very wrong!)

Distance round bed 1 = 3p+2 + 2p+1 + 3p+2 + 2p+1 = 10p+6

Distance round bed 2 = p+8 + 2p+3 + p+8 + 2p+3 = 6p+22

Distance is same round both so 10p+6 = 6p+22
Balance method: 4p+6 = 22
4p = 16
p = 4

Put back in to expressions, so 3p+2 = 14 and so on.

blueemerald,where did you get 10p or 22?

You have two lots of each side. The equation is:

(3p+2) + (3p+2) + (2p+1) + (2p+1) = (p+8) + (p+8) + (2p+3) + (2p+3)

Agree with posters saying to ask the teacher. If you give her the answer she still hasn't learnt. I'd rather be given back homework with a missing answer and a sentence saying 'I don't understand this bit' than be given a load of right answers and assuming they know what they're doing when they don't. Especially in this case when she's had a really good go at the rest of the questions.

Thank you sooo much. So that s an answer for b question? And c?
How come you are so good at maths? I am not...Thank you...

Not sure if the photo is big enough to read. :)

We have worked out that perimeter a is 10p + 6 and perimeter b is 6p + 22

If these are equal then

10p + 6 = 6p + 22

10p - 6p = 22 - 6

4p = 16

P = 4

I agree NormanStits with you.I am not planing to give her an answer but rather idea answer is for me so I know she is on right way.Thank you.

To work out the exact dimensions put in 4 instead of p, so flower bed a is
10p + 6
(10 x 4) + 6

40+6

46

Then do the same for flower bed b.

The end has four sides so 2 lots of both equation like mineofuselessinformation explained.

As a teacher (admittedly not a maths teacher) I think it's great that you are showing an interest in her work and showing her that perseverance and research pay off. Also that there is no shame in not knowing something. Maybe make it clear that you have helped her a lot but working this out together is teaching her far more than just how to substitute into equations!

To show your daughter:

a - the perimeter is two of each of the sides added together and as they are both the same, two of each of A sides = two of each of B sides. Then reduce to make an equation.
b - solve the equation to find P, and then calculate what the perimeter is.
c - using the original values, work out the length of each side.

Check your work by adding the sides [two of each] and checking that they equal the perimeter.