Question

The area of a rectangular piece of land is 240 square meters. If the length of the land was 5 meters less and the width was 3 meters more, the shape of the land would be a square.

Part A: Write an equation to find the width (x) of the land. Show the steps of your work. (5 points)

Part B: What is the width of the land in meters? Show the steps of your work. (5 points)

Answer 1

what is the formula for area of rectangle ???

Answer 2

A = wl

Answer 3

let width=x

Answer 4

A=240=x*l
cal u tell me value of l in terms of x??

Answer 5

I really don't understand this stuff :(

Answer 6

id say 240=w(w+8)

Answer 7

divide both side by x

Answer 8

Where does the 8 come in?

Answer 9

From*

Answer 10

which is actually w^2+8w=240

Answer 11

@countrygirl012 plz follow my approach

Answer 12

Okay.. @gorv

Answer 13

Using as what you've said above, the area is 240. Now, all you have to do is plug in the numbers. Width = w and l = length. So your equation would look something like this:
A= 240 = 5*3
8 is wrong, because you're supposed to be multiplying the length and the width not adding.
The formula is:
A=l*w

Answer 14

A=l*w
240=l*w

Answer 15

Thank you!! @YanaSidlinskiy May I ask what I do for Part B??

Answer 16

No problem. For B, all they're asking for is the steps on how you solve it.

Answer 17

So just solve it until you cannot simplify anymore further.

Answer 18

w=240/L

Answer 19

So because it asking for me to find the width... I would change the equation to look something like this...
W= 240/L right?

Answer 20

If the length of the land was 5 meters less and the width was 3 meters more, the shape of the land would be a square.
which means width=240/L+3 now
and length= L-5

Answer 21

in square length=width

Answer 22

I am really confused.. .-.

Answer 23

\[L-5=\frac{ 240 }{ L}+3\]

Answer 24

now solve this

Answer 25

Is that how i find the width

Answer 26

yeah

Answer 27

5 and 3 are not width

Answer 28

5*3= 15 not 240

Answer 29

-12, 20???

Answer 30

I solved for l though ...

Answer 31

yes

Answer 32

but length or width can not be negative

Answer 33

so we left with only 20

Answer 34

L=20

Answer 35

\[w=\frac{ 240 }{ L }\]

Answer 36

Okay so do I plug it in?

Answer 37

plug in 20 in place of L and you will get value of width

Answer 38

\[w = \frac{ 240 }{ 20 }\]

Answer 39

solve it further and tell me what you got ???

Answer 40

12?

Answer 41

yep you got it right :)

Answer 42

width = 12

Answer 43

THANK YOU!!!

Answer 44

u r welcome :)