Question

Algebra Urgent!!!:
Suppose the area of a square is now 400 square meters. If the area is increased by 100%, by what percent will the measure of each edge (side) increase?

Answer 1

@Maniqueen123 How is the area of a square related to its sides?

Answer 2

Um idk, but like the area for a square is s^2 so like 400= 20^2 and the formula you use for this question because its percent is x+P(x)=y but m not really sure... :/

Answer 3

You're right but it's quiet simple
What's 100% of 400?

Answer 4

400

Answer 5

400*1=400

Answer 6

so is it like 400+(1)(400)=800

Answer 7

and than you do like the square root of 800...?

Answer 8

Yeah so the new area is
400+400=800
find the side now, and then find the % increase in side
\[\frac{new\ side-\ old\ side}{old\ side}\times 100
\]

Answer 9

@Diyadiya help @Maniqueen123 I gotta go

Answer 10

@Diyadiya, yeah if you're not busy can you please help me im really confused and have an exam tommorow :P

Answer 11

(side)^2= 800
side = sqrt(800)

Answer 12

which equals 20sqrt(2)

Answer 13

just a minute let me go through the question again

Answer 14

kk sure :)

Answer 15

Ok
Percentage increase =
\[\frac{new\ side-\ old\ side}{old\ side}\times 100\]

New side = 20sqrt2
Old side =20

Answer 16

\[\frac{ 20\sqrt{2} -20}{20} \times 100\]\[\frac{20(\sqrt{2}-1)}{20} \times 100=\frac{\cancel{20}(\sqrt{2}-1)}{\cancel{20}} \times 100= (\sqrt{2}-1) \times 100\]

Answer 17

What is the values of \(\sqrt{2} \) ?

Answer 18

umm its like 1.alot of numbers

Answer 19

Did you understand till here?

Answer 20

i think for the answer you can leave it like tht

Answer 21

yea :) So i think you can write it like p= (sqrt(2)-1)%

Answer 22

\(\sqrt{2}=1.414\)
\((1.414 -1) \times 100 =0.414 \times 100 =41.4 \) %

Is that right? @ash2326

Answer 23

Yeah it's correct!!
Great work @Diyadiya

Answer 24

Thanks :)

Answer 25

@Maniqueen123 understood?

Answer 26

yea thanks alot guys :) you really helped me <3

Answer 27

You're Welcome :)