Question

Please Help!!!!!
A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400ft^(2)

Answer 1

perimeter=2(l+w)
Area=l*w

Answer 2

Let the length be l, width be w.
From the data,
l+b=200
l*b=2400
Solve both, you will get a quadratic eqn. And the answer.

Answer 3

Sorry it is 2(l+b)

Answer 4

Wait what?

Answer 5

The length of fence is the perimeter. 2(l+b)
The area of garden is l*b.

Answer 6

THE garden is surrounded by 200 feet of fence means itz perimeter =200ft
and area is 2400 sq. ft (given)
p=2(l+b)
area=l*b
let the length be l and breadth be b
Therefore 200=2(l+b)
2400=lb. solve it u l get the answer

Answer 7

So its two separate equations?

Answer 8

yep

Answer 9

yes...you have to solve l and b using this two equations..

Answer 10

I=100
b=100

Answer 11

no \[2(100+100)\neq200 and 100.100\neq2400\]

Answer 12

You have to equations:\[\bf P=2l+2w=200 \implies l+w=100\]\[\bf A=lw=2400\]Re-arrange second 'Area' equation and solve for either 'l' or 'w'. Substitute that in to the first equation and solve for the other variable.

@angelita321

Answer 13

L+(2400)=100?

Answer 14

\(l+2400/l=100\)

Answer 15

now cross multiplication..

Answer 16

is the lenght 60 and width 40

Answer 17

yeah...well done..

Answer 18

yep itz 60 and 40

Answer 19

but my dad helped me cause i didn't understand . we just plug in random #'s

Answer 20

which part did u not understand???? @angelita321

Answer 21

everything

Answer 22

sld i explain???

Answer 23

do you know this formulas?

Answer 24

a=lw

and please and thank you

Answer 25

do u knw the formulas to find the perimeter and area of a rectangle i mean p=2(l+w)
and a=l*w @angelita321

Answer 26

not the perimeter

Answer 27

ok then let me first explain u the formula for perimeter

Answer 28

the perimeter of rectangle ABCD is AB+BC+CD+DA=l+w+l+w=2(l+w)

Answer 29

ohhh !!

Answer 30

yep

Answer 31

nw ur question says that 'a rectangular garden plot surrounded by 200 ft of fence' in other words we can say that the perimeter of the rectangular garden is 200ft

Answer 32

aha

Answer 33

nw perimter=200ft which means 2(l+w)=200=>l+w=100

Answer 34

i got that part

Answer 35

ok have u got the area part??

Answer 36

@angelita321

Answer 37

i understood the top part

Answer 38

nw which part have u not understood??

Answer 39

but what do you mean the area part. since l+w=100

Answer 40

means????

Answer 41

@angelita321

Answer 42

since l+w=100
wouldn't it just be l=11 and w=100??

Answer 43

l=100*

Answer 44

no how can it be??? if l =11 w=100 then l+w=111 but it says l+w=100

Answer 45

okay and what do i do next?

Answer 46

see area part i think u have undrstd that???

Answer 47

area = lw

Answer 48

2400=100l timies 100w

Answer 49

ok nw we can see that l+w=100
lw=2400

Answer 50

ahs

Answer 51

aha*

Answer 52

nw solve these two equations u l get the value of l and w

Answer 53

l+w=100
lw=2400

w100=2400
w=24
???

Answer 54

no noo thtz nt the wat to slv

Answer 55

i'm lost. i'll ask tomorrow again. it's late. thanks for helping though