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1. A farmer want to fence his park of length 40 m and breadth 20 m at cost of ₹10 per m.
Find total cost
2. A square have an area of 100 cm. Find its perimeter
3. Find the area of triangular field whose side is 8 m ,15 m,17 m. Find its area
4. Find the circumference of circle whose diameter is 14 cm
Answers
Solution :
1. A farmer want to fence his park of length 40 m and breadth 20 m at cost of ₹10 per m. Find the total cost .
The length of the field is 40 m.
The breadth of the field is 20m .
Perimeter of the park :
> 2( Length + Breadth )
> 2( 40 m + 20m )
> 120 m .
The perimeter of this park comes out to be 120m. The cost of fencing it is Rs. 10 per m .
Total cost of fencing the park is Rs. 1200
2. A square have an area of 100 cm^2. Find its perimeter
Let us assume that the square has a side length of x cm .
Area of the square :
> x^2 .
But, its 100 cm^2 .
Hence
> x^2 = 100
> x = 10 cm.
Perimeter of square = 4 x Side = 10 x 4 = 40 cm..
3. Find the area of triangular field whose side is 8 m ,15 m,17 m.
For this triangular field
Side 1 = 8 m
Side 2 = 15 m
Side 3 = 17 m.
This can be done using the heron' s formula but on closer inspection, we can see that 8, 15 and 17 are all Pythagorean triplets .
Thus this is a right angled triangle .
Area = 1/2 * Base * Height
> 1/2 x 8 x 15
> 60 m^2 .
4. Find the circumference of circle whose diameter is 14 cm
The circumference of a circle is π d .
> 14 π cm
> 14 x 22/7
> 22 x 2
> 44 cm.
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Answer :
1. Rs 1200
2. 40 cm
3. 60 m^2
4. 44 cm .
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