To avoid paying a toll on a direct street, I go west 10 miles, south 5 miles, west 30 miles and north 35 miles. What is the length in miles of the toll road?

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

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