Perimeter=2(length+breadth)

2(45+70)=2*115=230

length=Area/Breadth

Length=5700/95=60

Area=a*a

Area=12*12=144

Side=Sqr root of Area

Side= 32

Diagonal = √12²+9²=15

Area=d²/2=144/2=72

Area=s²*2=8²*2=128

Area of the square=s²=25

When side is doubled:side=5*2=10,therefore area=s²=100

Percent increase in area=[(100-25)/25]*100=300%

Area of the square with side 6cm=36

When side is trebled ,side=3*6=18cm

Area=324,Percentage increase in area=[(324-36)/36]*100=(288/36)*100=800%

When area is increased 4 times,side is doubled.

Side of given square=20/4=5cm

Side of next square=5*2=10

Perimeter=4*10=40

(x+2a)(y+2a)-(xy)=(12+4)(8+4)-(12*8)=(16*12)-(12*8)

192-96=96

xy- (x-2a)(y-2a)=80-[(10-4)*(8-4)]=80-24=56

Let length be 4x and breadth 3x.Area=7x*x=7x²=343 x²=49

X=7 Length=4*7=28

Perimeter=4800/10=480

Perimeter=2(5x+3x)=480

8x=240 x=30

Breadth=3*30=90

Area=lb=800,Perimeter=2(l+b)=100

l+b=50,(l+b)²=2500,l²+b²+2lb=2500,l²+b²+1600=2500

l²+b²=900,√l²+b²=30