Question

The area of a rectangular piece of land is 280 square meters. If the length of the land was 5 meters less and the width was 1 meter 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

@ganeshie8

Answer 2

Help please

Answer 3

@ganeshie8

Answer 4

No

Answer 5

can you post the links over here

Answer 6

I already have.

Answer 7

but its just one, can you post a few

Answer 8

@ganeshie8 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 9

@ganeshie8 may you please help me, I've been stuck on this for so long

Answer 10

@ganeshie8 I will give you a medal

Answer 11

say the width of original land is \(x\) and length is \(y\)

Answer 12

ok

Answer 13

`If the length of the land was 5 meters less and the width was 1 meter more, the shape of the land would be a square.`

Answer 14

what do you know about sides of a square ?

Answer 15

^2

Answer 16

since there are two sides

Answer 17

we use the fact that the sides of a square are equal

Answer 18

ok

Answer 19

\(\large y-5 = x+1 \tag{1} \)

Answer 20

That's the equation?

Answer 21

since the area of original land is 280 :
\[\large xy = 280\tag{2}\]

Answer 22

ok I am understanding so far

Answer 23

isolate y from first equation and substitute it in 2nd equation

Answer 24

from first equation you get : \(\large y = x + 6\) right ?

Answer 25

Yes

Answer 26

plug that in second equation, you will get a quadratic :
\[\large xy = 280\\x(x+6) = 280\\x^2+6x-280=0\]

Answer 27

thats the final equation for part A

Answer 28

solve that equation for part B

Answer 29

SO x^2+6x-280?

Answer 30

x^2+6x-280 = 0

Answer 31

an equation must have an "=" symbol somewhere

Answer 32

WHat do I solve for

Answer 33

x

Answer 34

I got 14 and -20

Answer 35

can the width be negative ?

Answer 36

no

Answer 37

so throw away -20

Answer 38

and 14 is correct?

Answer 39

width = x = 14

Answer 40

Are you sure?

Answer 41

if you're sure, im also sure