Maths question again... Please provide with the steps too?

Question

The length of a rectangle is increased by 20% while its width is decreased by 10%.Calculate the percentage change in the area of the rectangle.

Answer 1

Length x
Breadth y
Area =xy
New length = x=x/5=6x/5
New breadth = y-y/10=9y/10.
New area = 6x/5*9y/10=27xy/25
% increase =2/25*100=8%.
So answer is 8%.
You are welcome.

Answer 2

So writing the equation is AB + 294 = AB6; this stands out as the trickiest section there is extra advantageous than one thank you to resolve this yet i think of the least complicated path is to examine and be conscious that the a million's digit has to function wisely, so: the a million's or singles digit equation is: B + 4 = 6 hence B = 2. i might call this technique 'with the aid of inspection'. Plug in B=2 to yield A2 + 294 = A26 For simplicity, i decide for to advise readjusting A2 + 294 to A0 + 296. Then the question will become what values of A to function with 9 to develop into 12 (with the aid of fact A can basically be a single digit). the respond of path is 3. A = 3 with the aid of inspection (or trial and mistake) as properly. hence AB is 32. although i don't basically like the path, a man or woman could use matrices with simultaneous equations to discover an answer as properly using each digit placeholder as component of the equations.

Answer 3

Let L be the length and W the width. The area is then LW. Now if L is increased by 20% then the new L is L + 0.20L = 1.20L. If W is decreased by 10% then new W is W - 0.10W = 0.90W. Therefore, the new area is 1.20L*0.90W = 1.08LW. This can be expressed as LW + 0.08LW and therefore the new area is increased by 8%.

Math Rules!

Answer 4

use an example with #'s

say the origonal is 15 x 10 - area would be 150

15 + 20% = 18

10- 10% = 9

18 x 9 = 162

an 8% change

Answer 5

Let x cm be the original length and y cm be the original width.
Area Of Rectangle --> xy cm^2
Area Of New Rectangle --> (120/100)(x)(90/100)(y)
= 10800xy/10000
= (27xy/25) cm^2

{(27xy/25)-xy}/xy x 100%
= {(27xy-25xy)/25}/xy x 100%
= 2xy/25xy x 100%
= 2/25 x 100%
= 8% increase

Answer 6

width = x
length = y
area = xy

new area = 1.2y X .9x

1.2 X .9 = 1.08

new area = 1.08xy

percentage increase is by 8%

Answer 7

A=LxW
if you decrease something by 10%, you're multiplying it by .9
if you increase something by 20%, you're multiplying by 1.2

so 1.2L x .9 W = A
1.2 X 9 = 1.08
the new area will increase by 8%

Answer 8

Area 1 = LB
Area 2 = 1.2L x 0.9B = 1.08 x (LB)
Area 2 / Area 1 = 1.08 = 108%
Increase = 8%

Answer 9

area = length x width

A=LW

the new length is 120pct of the initial 0.8L
the new width is 90pct of the initial 0.9W

A=1.2L x 0.9W=(1.2 x 0.9)LW=1.08LW
So you new area is 108pct of the initial

So it is 8pct larger in area