Question

The Natural Environmental Agency is looking for someone who can design a new retaining pond for an endangered species of toucans. The pond needs to be rectangular in shape, and must be 48 square miles in size. The Agency wants the length of the pond to be 8 miles less than its width, but doesn’t know what that means the specific side lengths of the rectangle need to be

Answer 1

4 and 12

Answer 2

so 4 and 12 is the answer how did u get it?

Answer 3

so just suppose a side to be x
then second one will be x+8
if u get this then i will go ahead to explain next step

Answer 4

so 8x

Answer 5

no x+8

Answer 6

i dont get it :(

Answer 7

The Agency wants the length of the pond to be 8 miles less than its width

Answer 8

so if u suppose the length to be x
then width will be x+8

Answer 9

did u get it now or i should try in another way

Answer 10

i get it now

Answer 11

ok then u need to find the area of the rectangle

area of rectangle= length*width

so

area= x * (x+8)

Answer 12

and thats how you get 4 & 12

Answer 13

and the area is equal to 48
so
area=x * (x+8) =48

x^2+8x=48

x^2+8x-48=0

Answer 14

thanks !

Answer 15

can u solve after that.....!!

Answer 16

yes i think so

Answer 17

ok try

Answer 18

if u cant let me know...!!

Answer 19

X1 = 4
X2 = -12

Answer 20

is that correct

Answer 21

{4,-12}

Answer 22

yeah that is correct so here u will take the value of x=4 for ur solution in the question u have to drop x=-12 because the value of a rectangle can not be negative so -12 is of no use

Answer 23

try to understand what i m saying...

Answer 24

so we turn it into a positive or?

Answer 25

no just understand by solving the equation we have found 2 values of x that is 4 and -12 here in our question side of a rectangle cant be negative so we will drop -12 so the length of the rectangle will be x=4
when u understand this i will tell u how to find width

Answer 26

ok i get it now u can only hav 1 value for x

Answer 27

yes now u need to recall what lengths we supposed for our rectangles just to solve it
if u suppose the length to be x
then width will be x+8

Answer 28

which x=4 so 8+4 =12

Answer 29

yes that is correct u cant change sign according to ur need there must be a procedure for everything u doo thats totally goood.....i hope i helped....!! :)