A square carpet with an area 169 m2 must have 2 m cut off one of its edges in order to fit a rectangular room. What is the area of room?

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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