Question

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.

Answer 1

450 sq.m

Answer 2

I agree with @jameshorton @Devanshi

Answer 3

How?

Answer 4

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
---

Answer 5

what grade are u in

Answer 6

Who me or @Devanshi

Answer 7

both of ya

Answer 8

I am doing my A levels

Answer 9

oh

Answer 10

and you

Answer 11

6th

Answer 12

Really You are pretty smart

Answer 13

yea my mom teach me and my mom is a docter

Answer 14

Ok

Answer 15

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

Answer 16

@ganeshie8

Answer 17

@Conqueror

Answer 18

So you just copy pasted the answer @jameshorton ?

Answer 19

no why

Answer 20

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

@jameshorton :)

Answer 21

what

Answer 22

@jameshorton did you just copy that ???

Answer 23

no

Answer 24

But it is the same

Answer 25

i know

Answer 26

James are you lieing

Answer 27

no

Answer 28

Just explain the standard equation? @jameshorton ?

Answer 29

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

Answer 30

@jameshorton come on tell us the truth

Answer 31

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

Answer 32

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

Answer 33

lol

Answer 34

my real name is jacob

Answer 35

jacob lamb