A rectangular pen is to be built against a wall using 60 m of fencing for the three sides which need fencing. If the area of the pen is to be as large as possible, find the length of the longest side and also its maximum area.

- anonymous

- chestercat

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- jameshorton

450 sq.m

- anonymous

I agree with @jameshorton @Devanshi

- anonymous

How?

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## More answers

- jameshorton

a = xy
y + 2x = 60
y = 60 - 2x
---
a = x(60 - 2x)
a = 60x - 2xx
---
-2xx + 60x = 0
---
the above quadratic equation is in standard form, with a=-2, b=60 and c=0
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
-2 60 0
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the quadratic has two real roots at:
---
x = 0
x = 30
---
the quadratic has a vertex maximum at: ( 15, 450 )
---
maximum area (a) occurs when x = 15:
y = 60 - 2*15
y = 30 m
---
answer:
x = 15 m
y = 30 m
max area = 450 sq.m
---

- jameshorton

what grade are u in

- anonymous

Who me or @Devanshi

- jameshorton

both of ya

- anonymous

I am doing my A levels

- jameshorton

oh

- anonymous

and you

- jameshorton

6th

- anonymous

Really You are pretty smart

- jameshorton

yea my mom teach me and my mom is a docter

- anonymous

Ok

- anonymous

How is this the standard form of equation? @lauren.ascough

- jameshorton

- jameshorton

- anonymous

So you just copy pasted the answer @jameshorton ?

- jameshorton

no why

- anonymous

http://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.937287.html
@jameshorton :)

- jameshorton

what

- anonymous

@jameshorton did you just copy that ???

- jameshorton

no

- anonymous

But it is the same

- jameshorton

i know

- anonymous

James are you lieing

- jameshorton

no

- anonymous

Just explain the standard equation? @jameshorton ?

- anonymous

it even has the same web address james we know you took it from there just tell us the truth

- anonymous

@jameshorton come on tell us the truth

- jameshorton

u want the fing truth no i didnt copy it and my real name is not jameshorton

- jameshorton

i used my dad name to create that site that is my site

- anonymous

lol

- jameshorton

my real name is jacob

- jameshorton

jacob lamb

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