A rectangular grass field is 112 m × 78 m. It has a gravel path 2.5 m wide all round it inside. Find the cost of constructing the gravel path at the rate of 80 paisa per sq. m.

Mensuration is the branch of mathematics that deals with the measurement of geometric figures and their properties. It is particularly concerned with the calculation of various geometric quantities, such as area, volume, length, and surface area, related to two-dimensional and three-dimensional shapes.  Here are some formulas for the area and perimeter of different shapes: Circle: Area = πr2, Perimeter = 2πr Triangle: Area = 1⁄2 × b × h, Perimeter = a + b + c Square: Area = a, Perimeter = 4a Rectangle: Area = l × w, Perimeter = 2(l + w) Parallelogram: Area = b × h, Perimeter =... Show more

Mensuration is the branch of mathematics that deals with the measurement of geometric figures and their properties. It is particularly concerned with the calculation of various geometric quantities, such as area, volume, length, and surface area, related to two-dimensional and three-dimensional shapes. 

Here are some formulas for the area and perimeter of different shapes:
Circle: Area = πr2, Perimeter = 2πr
Triangle: Area = 1⁄2 × b × h, Perimeter = a + b + c
Square: Area = a, Perimeter = 4a
Rectangle: Area = l × w, Perimeter = 2(l + w)
Parallelogram: Area = b × h, Perimeter = 2(a+b)
Trapezoid: Perimeter = a + b + b + c, Area = 1⁄2( b + b ) x h
Ellipse: Perimeter ≈ 2π ( (a + b) / 2 ), Area = πrr
Hexagon: Perimeter = 6r, Area = (3√3/2 )r
Octagon: Perimeter = 8a, Area = ( 2 + 2√2 )a

Show less