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perimeter and area class 6

 Easy Level

Perimeter

1.     Find the perimeter of a square with side 6 cm.

2.     Find the perimeter of a rectangle with length 10 cm and breadth 5 cm.

3.     Find the perimeter of an equilateral triangle with side 7 cm.

4.     Find the perimeter of a regular pentagon with side 3 cm.

5.     A square has a perimeter of 20 cm. Find the length of one side.

Area

6.     Find the area of a square with side 8 cm.

7.     Find the area of a rectangle with length 12 cm and breadth 4 cm.

8.     Find the area of a triangle with base 9 cm and height 6 cm.

9.     A rectangle has an area of 48 cm². If its length is 8 cm, find its breadth.

10.                        Find the area of a square with perimeter 36 cm.

Moderate Level

Perimeter

1.     The perimeter of a rhombus is 40 cm. Find the length of each side.

2.     Find the perimeter of a regular hexagon with side 5 cm.

3.     A rectangular field is 50 m long and 30 m wide. Find the cost of fencing the field at ₹15 per meter.

4.     A wire is bent into a square of side 10 cm. If the wire is rebent into a rectangle of length 12 cm, find the breadth of the rectangle.

5.     The perimeter of a triangle is 36 cm. If two sides are 12 cm and 14 cm, find the third side.

Area

6.     Find the area of a triangle with base 10 cm and height 8 cm.

7.     A rectangular garden is 15 m long and 10 m wide. A path of uniform width 1 m runs around the garden. Find the area of the path.

8.     The area of a square is 144 cm². Find its perimeter.

9.     A room is 12 m long and 8 m wide. A square carpet of side 6 m is laid on the floor. What fraction of the room's area is not carpeted?

10.                        Find the area of a rectangle whose perimeter is 40 cm and length is 12 cm.

Hard Level

Perimeter

1.     A piece of string is 96 cm long. What will be the length of each side if the string is used to form:

o    An equilateral triangle

o    A regular hexagon

o    A square

2.     The perimeter of a rectangular plot is 240 m. If the length is twice the breadth, find the area of the plot.

3.     A wire is bent into a circle of radius 14 cm. If the same wire is rebent into a square, find the side of the square.

Area

4.     A rectangular field is 80 m long and 60 m wide. Two paths, each 3 m wide, run through the middle of the field, one parallel to the length and the other parallel to the breadth. Find:

o    The area of the paths.

o    The area of the remaining portion of the field.

5.     The length and breadth of a rectangular park are in the ratio 5:3. If the perimeter of the park is 160 m, find its area.

6.     A square and a rectangle have the same perimeter. If the side of the square is 15 cm and the length of the rectangle is 18 cm, find the breadth of the rectangle.

7.     A room is 15 m long and 10 m wide. A square carpet of side 8 m is laid on the floor. What fraction of the room's area is not carpeted?

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