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Q 12.     How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are respectively:

             (a) 100 cm and 144 cm
             (b) 70 cm and 36 cm.

Given that, the length and breadth of the tiles are 12 cm and 5 cm Therefore, the area of the tiles  = length  breadth = 12 cm  5 cm = 60 cm2 Now, (a) For 100 cm and 144 cm rectangular region, Area of region =  length  breadth                         = 14,400 cm2 Therefore, the number of tiles needed =  tiles (b)  For 70 cm and 36 cm rectangular region, Area of region = ...

Q 11.     Split the following shapes into rectangles and find their areas. (The measures are given in centimetres)

                

(a) Split the given figure into a small rectangle, as shown here; Now, the area of the rectangle (I) =  = 12  2 =   the area of the rectangle (II) =  = 8  2=   Therefore, Total area = (b) Split the given figure into a small rectangle, as shown here; Now, the area of the rectangle (I) =  = 7 7 = the area of the rectangle (II) =  = 21  7= Now, the area of the rectangle (III) =  = 7 7 =...

Q 10.     By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).

                

(a) Split the given figures into small rectangular parts as shown here; Now, the area of the rectangle (I) =  = 4  3 = 12  the area of the rectangle (II) =  = 3  2= 6  the area of the rectangle (III) =  = 4  1 = 4  the area of the rectangle (IV) =  = 3  2 = 6  So, the total area of the figure = sum area of all rectangles                                                  = (12 + 6 + 4 +...

Q 9.     Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?

Given that, Length and breadth of the land are 5m and 4 m. Side of the square flower bed = 1m Therefore the area of the bed = 1  So, Area of 5 square flower bed = 5  Area of the and = length  breadth                          =  Thus, the area of the remaining part of the land = Area of land - area of the flower bed                                                                          ...

Q 8.     A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.

Given that, Length of the floor = 5 m and its width = 4 m Therefore,  the area of the floor = length  breadth And, side of the square carpet = 3m Therefore,  the area of the square carpet =  = 3m  3m = 9m2 Thus, the area of the floor which is not covered with carpet = 

Q 7.     A room is 4 m long and 3 m 50 cm wide. How many square metres of carpet is needed to cover the floor of the room?

Given that, Length of the room = 4 m And it's breadth = 3.5 m Area of the room = = length  breadth                                                              =  Hence the area of carpet needed is 

Q 6.     A table-top measures 2 m by 1 m 50 cm. What is its area in square metres?

Given that, Length of the table-top = 2m and it's breadth = 1.5 m Therefore, the area of the tabletop  = length  breadth

Q 5.     What is the cost of tiling a rectangular plot of land 500 m long and 200 m wide at the rate of rupees 8 per hundred sq m.?

Given that, Length of the rectangular plot = 500m  and the width = 200 m fencing cost  = Rs 8 per hundred sq. meter Therefore, the area of the plot   =  Now, Total rate of tiling of 100,1000 m2   =                                                                   = Rs 8000

Q 4.     The area of a rectangular garden 50 m long is 300 sq m. Find the width of the garden.

Given that, Area of the rectangular garden = 300 sq. m and the length = 50 m Therefore, the Width of the garden =                                                           = Hence the width of the garden is 6 m

Q 3.     The length and breadth of three rectangles are as given below :

            (a) 9 m and 6 m                 (b) 17 m and 3 m                 (c) 4 m and 14 m

            Which one has the largest area and which one has the smallest?

We know that area of a rectangle = length  breadth Therefore, (a) Here length is 9m and the breadth of the rectangle is 6m        So, the area of the rectangle        =  (b) Here length is 17 m and the breadth of the rectangle is 3m        So, the area of the rectangle         =  (c) Here length is 4m and the breadth of the rectangle is 14m        So, the area of the rectangle       ...

Q 2.     Find the areas of the squares whose sides are :

             (a) 10 cm                 (b) 14 cm             (c) 5 m

It is known that area of a square =  (a) The length of a side of a square = 10cm So, the area =  (b)The length of a side of a square = 14cm So, the area = (c) The length of a side of a square = 5m So, the area =  

Q 1.       Find the areas of the rectangles whose sides are :

                 (a) 3 cm and 4 cm                         
                 (b) 12 m and 21 m                         
                 (c) 2 km and 3 km                             
                 (d) 2 m and 70 cm

We know that area of a rectangle = length  breadth Therefore, (a) Here length is 3cm and the breadth of the rectangle is 4cm        So, the area of the rectangle          =  (b) Here length is 12m and the breadth of the rectangle is 21m        So, the area of the rectangle          =  (c) Here length is 3km and the breadth of the rectangle is 3km        So, the area of the...
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