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**Area – Maharashtra Board Class 6 Solutions for Mathematics (English Medium)**

MathematicsGeneral ScienceMaharashtra Board Solutions

### Exercise-86

**Solution 1:**

**Solution 2:**

### Exercise-87

**Solution 1:**

Length of the flower-bed = l = 5 m

Breadth of the flower-bed = b = 3 m

Area of the flower-bed

= l × b

= 5 × 3

= 15 sq. m

Thus, the area of the flower-bed is 15 sq. m.

**Solution 2:**

Length of the garden = l = 12 m

Breadth of the garden = b = 9 m

Area of the garden

= l × b

= 12 × 9

= 108 sq. m

Thus, the area of the garden is 108 sq. m.

**Solution 3:**

Length of the room = l = 5.2 m

Breadth of the room = b = 5 m

Area of the room = l × b

Area of the mat required to cover the entire floor = Area of the room

∴ Area of mat = l × b

= 5.2 × 5

= 26.0 sq. m

Thus, the area of the mat is 26 sq. m.

**Solution 4:**

Length of the plot = l = 35 m

Breadth of the plot = b = 20 m

Area of the plot = l × b

= 35 × 20

= 700 sq. m

Cost of 1 sq. m land = Rs. 600

∴ Cost of 700 sq. m land = 600 × 700 = Rs. 420000

Thus, the cost of the plot is Rs. 4,20,000.

**Solution 5:**

Length of the square field = x = 100 m

Area of the field = x2

= 1002

= 10000 sq. m

Cost of levelling 1 sq. m land = Rs. 5

∴ Cost of levelling 10,000 sq. m land = 5 × 10000

= Rs. 50,000

Thus, the cost of levelling the field will be Rs. 50,000.

**Solution 6:**

Length of the wall = l = 5 m

Height of the wall = b = 3 m

Area of the wall = l × b

= 5 × 3

= 15 sq. m

Cost of painting 1 sq. m = Rs. 15

∴ Cost of painting 15 sq. m = 15 × 15 = Rs. 225

Thus, the cost of painting the wall would be Rs. 225.

**Solution 7:**

**Solution 8:**

Side of the square room = x = 6 m,

Area of the square = x2

= 62

= 6 × 6

= 36 sq. m

Cost of 1 sq. m carpet = Rs. 40

∴ Cost of 36 sq. m carpet = 40 × 36 = Rs. 1440

Thus, the cost of the carpet will be Rs. 1440.

**Solution 9:**

Length of the plywood (l) = 2.5 m

Breadth of the plywood (b) = 1 m

Area of the plywood = Area of the board

= l × b

= 2.5 × 1

= 2.5 sq. m

Cost of 1 sq. m board = Rs. 100

∴ Cost of 2.5 sq. m board = 100 × 2.5 = Rs. 250

Thus, the cost of the board will be Rs. 250.

**Solution 10:**

Length of the hall (l) = 25 m

Breadth of the hall (b) = 15 m

Area of the hall = l × b

= 25 × 15

= 375 sq. m

Length of the platform = l1 = 10 m

Breadth of the platform = b1 = 4 m

Area of the platform = l1 × b1

= 10 × 4

= 40 sq. m

Area of the hall excluding the platform

= Area of the hall – Area of the platform

= 375 – 40

= 335 sq. m

Thus, the area of the hall excluding the platform is 335 sq. m.

**Solution 11:**

Length of the first playground (l) = 120 m

Breadth of the first playground (b) = 52 m

Area of the first playground = l × b

= 120 × 52

= 6240 sq. m

Length of the second playground = L = 110 m

Breadth of the second playground = B = 62 m

Area of the second playground = L × B

= 110 × 62

= 6820 sq. m

Area of the first playground = 6240 sq. m

and area of the second playground = 6820 sq. m

Hence, the second playground is bigger.