* SHAPES:Any closed surface makes a definite shape.
* Perimeter: the boundary of any closed surface is called perimeter.
* perimeter of square:4*side
* perimeter of rectangle=2(l+b) (where l= length,b=breadth)
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* area of square:side*side
* area of rectangle=l*b
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* conversion of meter into centimeter.(1m=100cm)
* conversion of centimeterinto meter(1 cm=1/100 )
* conversion of km in meter(1km=1000m)
* conversion of meter in km(1m=1/1000km)
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for right-sided Triangle
Pythagorus theroem:C2=A2+B2
where C is hypotenuse, A is the base of the triangle
B is the height(altitude)of the triangle |
Area of triangle = (1/2)*(b*h)
where b= base of the triangle,h=altitude to base(b) of triangle | Perimeter of triangle=AB+BC+CA |
Easy level
1)Perimeter of a square having side =5cm would be
a)20 cm b) 30cm c) 23cm d) 12cm
Ans : a)Perimeter=4*(side)
=5*4=20cm
check the answer!!!
2) Perimeter of a rectangle would be l= 5cm,b=35cm
a) 80cm b) 60cm c) 46 cm d) 34cm
Ans : a) Perimeter=2*(l+b)
=2*(35+5)=80cm
check the answer!!!
3) Find the perimeter of rectangle l=45cm,b=34cm in meter would be
a)1.58m b) 15.8m c)154m d)234m
Ans : a) Perimeter=2*(45+35)
=158cm=1.58m
check the answer!!!
1)Find the perimeter of triangle PQR, where PQ =13cm,QR =1m,RP=99cm
a)212 cm b)234 cm c)112 cm d)222 cm
2)Find the perimeter of acute angle triangle,where AB = 23cm,BC=34,CD= 48cm
a)125 cm b)200cm c)234cm d) 100cm
3)Find the side (AB) of triangle when triangle ABC has perimeter 250cm,when AB=95 cm,BC=125
a) 30cm b)50 cm c) 60 cm d) 70 cm
4)Find the perimeter of rectangle l=23m, b=45m in centimeter would be
a)136cm b)234cm c) 124cm d) 213cm
5) Find the area of square s=23cm would be
a)34cm square unit b) 45cm square unit c) 56cm square unit d)100cm square unit
6) Find the area of rectangle having length =89 cm and breadth=90cm
a)45cm b)8010 cm squareunit c)4567cm squareunit d) 1234 cm squareunit
7)Find the side of rectangle if perimeter=268 cm and l=4cm then breadth would be
a)130cm b)120cm c)45cm d)43 cm
8)Find the side of square if perimeter = 480cm then
a)120cm b)240 cm c)68cm d)231cm
9) If the area of a square=36cm sq.Find the side.
10)Side of square=8cm.Find the area.
Medium level
1.A rectangular park is having dimension 56*64 cm is bordered by 2 cm long grass.Find the area of rectangle including long grass.
Ans : l=56,b=64,border=2
new length and breadth including border=58,66
Area=56*68
=3808cmsq.
check the answer!!!
2.A square garden having side 56cm is cemented by 10 cm inside the border.Find the area of remaining
square.
Ans : side =56cm
side excluding
border=56-10=46
Area= side*side
46*46=2116cm sq.
check the answer!!!
3.One rectangle has 36*49 cm dimension,one square has same area as of rectangle.Find the side of the square.
Area of rectangle = area of square= 36*49cm sq.
so, side of square=sqrt(6*6*7*7)
= 6*7=42cm
check the answer!!!
1.Find the area of triangle,whose base is 36cm and height is 1.2m.Find the area of triangle.
2.Find the area of a isosceles right angled triangle whose equal sides are 234 cm.
3.Find the perimeter of equilateral triangle, whose side is 48 cm.
4.One rectangle has 45*54 m dimension,one square has same perimeter as of square.Find the side of square.
5.If side of square is same as length of rectangle,breadth of rectangle is 45.The area of
rectangle is 900m sq.The area of square would be .
6.Side of square is same as length of rectangle 98 cm,the breadth is 56cm.Find the difference between
area of square and area of rectangle.
7.Perimeter of rectangle is 256 cm and area of rectangle is 648cm.find the length and breadth of
rectangle.
8.Perimeter of a square is 484cm,find the area and side of square.
9.Length and breadth of a rectangle is 28cm,39cm.Find the area and perimeter of rectangle.
10. Perimeter of a square is 256cm,if the length of rectangle is equal to the side of rectangle
and breadth is double of length.Find the area of rectangle.
Hard level
1.The side of a square is 16km.find the area of square in m sq ,cm sq.
Ans: side=16km
=16*1000m
,168*100000cm
area in m=16*16*1000*1000
=256000000sqm
area in cm= 25600000000cmsq.
check the answer!!!
2.One rectengular park having dimension 24*48 m is covered by grass.
Find the cost of covering park with grass ,if it costs Rs.55msq.
Ans : Area= 24*48
1152 sq.m
1 sq.m=55
so,1152sq.m=55*1152
=63360
check the answer!!!
3.One square glass pane of side 95.56 cm is covered in its edge by 2cm wide steel frame .It costs
Rs.20/cmsq.Find the cost of steel frame.
Ans : a)21.5,decimal
check the answer!!!
1.
A_______________________B
C |______________________| D
E |______________________| F
G |______________________| H
AB=28.56km AG=10.55km.How many rectangles are there.Find the perimeter of each rectangle
how many rectangles in above fig. have equal perimeters.
2.Find the area of each rectangle in above fig.
3. Find the area in msq and cmsq.of above fig.
4.
A_________B
C |__|__|__| D
E |__|__|__| F
G |__|__|__| H
AB=20.56km .ABHG is a square.How many squares are there.Find the perimeter of each square
how many squares in above fig. have equal perimeters.
5.Find the area of each square in above fig.
6. Find the area in msq and cmsq.of above fig.
7.The cost of carpet covering it Rs.100 per meter.Find the cost of carpet.
8.Find the area and perimeter of right-angled isoscles triangle ABC,where AB = BC =21 cm.
9.Find the perimeter and area of equilateral triangle PQR,where PQ = 12cm.(hint: Equilateral triangle has perpendicular bisector)