- If the length of a rectangular field is increased by 15% and breadth is also increased by 10%, the area of the rectangle will be 253 m^2. What is the area of the original area of rectangle ?
400240350180200Option E

let original area of rectangle =100

percentage change in area=15+10+15*10/100=26.5

126.5=253

original area=253/126.5*100=200 m^2 - The side of square is 25% more than the length of rectangular and perimeter of square is 80cm. Ratio of length and breadth of rectangular is 4:3, then find the area of rectangular.
192215180220240Option A

let the length of rectangular=4x

side of square=5x

perimeter of square=5x*4=20x

20x=80

x=4

length of rectangular=4*4=16

ratio of length and breadth=4:3

breadth=16/4*3=12

area of rectangular=16*12=192 cm^2 - The area of square 50m^2 less than the area of a rectangular, whose breadth is 12m. If the perimeter of a square is 40m, then find the perimeter of a rectangular.

5049606570Option B

perimeter of square=40

side of square=40/4=10m

area of square=10^2=100

area of rectangular=100+50=150m^2

breadth=12m

length=150/12=12.5m

perimeter=2(12.5+12)=49 - The area of the square is in the ratio of 1444:1296. What will be the ratio of their perimeter ?
20:2119:1822:2523:2418:19Option B

The ratio of area= 1444:1296

a^2:b^2=38:36=19:18

ratio of their perimeter=19*4:18*4=19:18 - The side of square is 5cm more than the radius of a circle. The area of the circle is 154cm^2. What is the perimeter of the square ?
4464564852Option D

area of the circle=154cm^2

πr^2=154

r^2=49

r=7

side of square=7+5=12cm

perimeter of square=12*4=48cm - The length of rectangular is 18cm which is 4cm more than diameter of a circle. What is the area of the circle ?
154240150176198Option A

diameter of circle=18-4=14

2r=14

r=7

area of the circle=πr^2=22/7*7*7=154cm^2 - There is a rectangular field of 40cm in length and 30cm in breadth. On the inside of which a 5cm wide road, then find the area of road.
8005007006001000Option D

area of the outside rectangular field=40*30=1200cm^2

length of inside rectangular=40-10=30

breadth of the inside rectangular=30-10=20

area of the inside rectangular=30*20=600

the area of the road=1200-600=600cm^2 - The height and radius of a cylinder is 21cm and 12cm respectively. Find the volume of cone.
42683168436045304840Option B

height of the cylinder=21cm

radius of the cylinder=12cm

volume of the cylinder=22/7*12*12*21=22*144*3

volume of the cone=1/3*volume of cylinder

=1/3*22*144*3=3168cm^2 - The ratio of the length of the diagonals of a rhombus is 4:3. If the perimeter of the rhombus is 160m. What is the length of the diagonal of a square whose area is same as that of rhombus ?
15√316√320√225√524√2Option B

let the diagonals of the rhombus be 4x and 3x

side length of the rhombus=√(4x)^2+(3x)^2

=√16x^2+9x^2

=25x^2=5x

perimeter=4*5x=20x=160

20x=160

x=8

two diagonal of the rhombus=32 and 24

area=1/2*32*24=384

let the diagonal of the square=D

side of the square=D/√2

(D/√2)^2=384

D^2/2=384

D=16√3 - The circumference of the circle is 176cm and the radius of circle is 4 less than side of the square. Find the area of the square.
576100078410241444Option D

2πr=176

r=176*7/44=28

side of square=28+4=32

area of square=32*32=1024