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help with maths question

Anya has 400m of fencing to create a paddock for some ponies. She wants the paddock to be twice as long as it is wide.

What will the area of the paddock be?

I know the answer is 8990m^2 but how do I get there?
Original post by Mia 15
Anya has 400m of fencing to create a paddock for some ponies. She wants the paddock to be twice as long as it is wide.

What will the area of the paddock be?

I know the answer is 8990m^2 but how do I get there?


Lets call the length of one side a & the other side 2a.

First make an expression for the perimeter of the paddock in terms of a.
Reply 2
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Mia 15
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Original post by mnot
Lets call the length of one side a & the other side 2a.

First make an expression for the perimeter of the paddock in terms of a.

oh is it 2a+ a + a + 2a = 6a
and then 6a= 400m ?
Original post by Mia 15
oh is it 2a+ a + a + 2a = 6a
and then 6a= 400m ?


Correct.
Now once you’ve found ‘a’ it should be more obvious how to find the area.
Reply 4
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Mia 15
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omg wait

then a =66.7

and area is 2(66.7) x 66.7?
Original post by Mia 15
omg wait

then a =66.7

and area is 2(66.7) x 66.7?


Yep, that’s right!
Reply 6
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Mia 15
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thank you! I got the answer :smile:
Original post by Mia 15
thank you! I got the answer :smile:


No problem.
Good to hear!
Where you've got the 66.7 in 'a'
Where you've got the 66.7 in 'a'
Reply 10
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davros
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Original post by Sarah Alenezi
Where you've got the 66.7 in 'a'

That's just the result of dividing 400 by 6
Original post by davros
That's just the result of dividing 400 by 6

thank 😄
pls I don't understand why the length and width is multiplied by 2 to get the area

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