Mensuration sums with solution part - 1



Mensuration sums with explanation

Mensuration sums are a little difficult to learn but learn it more easily on Nithra Jobs. Here the example sums for the mensuration are given step by step. Clear your queries regarding mensuration questions on our site. Apply for the jobs on the Nithra Jobs site, if you are looking for jobs in your location and various other districts in Tamil Nadu.

Formula to use:

Perimeter of a parallelogram (P) = 2 × (length(l) + Breadth(b))

Area of a triangle (A) = (Base(b) × Height(b)) / 2

Area of trapezium (A) = h ((a+b)/2), Where, "a" and "b" are the length of parallel sides.

Perimeter of a trapezium (P) = sum of all sides

Area of rhombus (A) = Product of diagonals / 2

Perimeter of a rhombus (P) = 4 × l, where l = length of a side

Area of quadrilateral (A) = 1/2 × Diagonal × (Sum of offsets)

Area of a Kite (A) = 1/2 × product of it's diagonals

Perimeter of a Kite (A) = 2 × Sum on non-adjacent sides

Solved Problems

1. What will be the cost of building a fence around a square plot with area equal to 324 sqft, if the price per foot of building the fence is Rs. 50?

Answer: Rs.3600

Explanation:

Let the Side of the square plot = ab ft

Given, Area of the square plot = a2 324 = a2

Take square root on both sides a = 18 ft

Perimeter of the square plot = 4a

= 4 × 18

= 72 ft

Length of the fence = Perimeter of the square plot

= 72 ft Cost of building the fence = 50 × 72

= Rs.3600

Cost of building the fence = Rs.3600

2. The length of a rectangular floor is more than its breadth by 300%. If Rs. 363 is required to paint the floor at the rate of Rs. 3 per sqm, then what would be the length of the floor?

Answer: 22m

Explanation:

Let the length and breadth of the floor be l and b

Given, l = b + 300% of b

Length (l) = b + 3b = 4b

Breadth (b) = l / 4

Area of the floor = 363 / 3 = 121 sq m

Length × Breadth = 121

l × ( l / 4 ) = 121

l2 = 4 × 121

l2 = 484

Take square root on both sides l = 22

Length of the floor = 22m

3. The length of a rectangular field is thrice its breadth. If the perimeter of this field is 800m, what is the length of the field?

Answer: 300 m

Explanation:

Perimeter of a rectangle = 2 (length + breadth)

Length of the rectangular field = 3 × breadth

Therefore perimeter of field = 2 (3 × breadth + breadth)

= 2 ( 4 × breadth)

= 8 × breadth

The given perimeter = 800 m

8 × breadth = 800

Breadth = 800 / 8

= 100 m

So, length = 3 × 100 m

= 300 m

The length is 300 m.

4. Ravi wants to cover the floor of her room whose length is 4 m and breadth is 3m by square tiles. If each square tile is of side 20cm, then find the number of tiles required to cover the floor of her room.

Answer: 300

Explanation:

Length of the room = 4m = 400cm

Breadth of the room = 3m = 300cm

Area of the floor of the room = Length × Breadth

= 400 × 300 sq. cm

= 120000 sq. cm

Side of the square tile = 20cm

Area of the square tile = Side × Side

= 20 × 20 sq. cm

= 400 sq. cm

So, number of tiles required = Area of the floor / Area of one tile

= 120000 / 400

= 300

300 tiles are required.

5. The length and breadth of a rectangular field are in the ratio 5:3. The area of the field is 2160 sq. m. If a fence is to be made at the rate of Rs. 350 per metre , how much will it cost?

Answer: Rs. 67200

Explanation:

Let the length and breadth of a rectangular field be 5x and 3x

Area of the field = l × b 2160 = 5x × 3x

2160 = 15x2

x2 = 2160 / 15

x2 = 144

x = 12

Length = 5 × 12 = 60

Breadth = 3 × 12 = 36

Perimeter of the field = 2 (l+b)

= 2 ( 60 + 36 )

= 192 m

Rate of fencing = Rs. 350 per metre Cost of fencing = 350 × 192

= Rs. 67200

Cost is Rs. 67200.

Conclusion

Learn mensuration problems more easily at our site. The mensuration formulas are also listed above. Now it is very easy for employers to recruit an aspirant for their company with the help of Nithra Jobs. Both female and male applicants from Tamil Nadu can apply now to get a job! Grab now!!


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