Geometric Area

The geometric area refers to the size of the interior of a planar (flat) figure. Area (A) is a two-dimensional measure. The square units that  an area is measured with square inches, square feet and square centimeters. Hectares and acres are also considered in some special cases. In the International System of Units (SI), the standard unit of area is the meter squared (m ²).

Geometric area of Square

Formula to find the area of the square:

Area of the square is calculated by multiplying the base times itself.

Area of square = side x side square unit.

Area = a²

1. The side length of the square is 10 feet; find the area of the square.

Solution:

Area = a²

Given: Side length= 10feet.

                               = 10 x 10

                   Area    =100 feet²

2. The side length of the square is 4.5 m; find the area of the square.

Solution:

Area = a²

Given: Side length= 4.5m.

                              = 4.5 x 4.5

                      Area =20.25 m²

Geometric area of Rectangle

Area of the rectangle is calculated by multiplying the base times the height.

 Area of rectangle     =  (length x width) square unit.

Area = l x w square unit

3. The length and breadth of the rectangle are 10 meters and 5 meters respectively .find the area of that rectangle.

Solution:

Area = l x w square unit

           
Given: Length= 10 meters

                        Breadth=5 meters

                                    =10x5

                        Area    = 50 m²      

     

4. The length and breadth of the rectangle are 11 feet and 6 feet respectively .find the area of   that rectangle

Solution:

Area = l x w square unit.

            Given: Length= 11feet

                        Breadth=6feet

                                    =11x 6

                        Area    = 66 ft²

Geometric area of Triangle

Area of the triangle is calculated by multiplying the base times the one-half the height.

Area of triangle= `(1)/(2)` (base x height)

Area = `(1)/(2)bh`

5. What is the area of triangle with base 5 and height 10 feet?

Solution:

Area = `(1)/(2)bh`

Given: Base= 5 feet.

         Heigh t= 10feet

                    = 1/2 (5x 10)

                    =1/2(50)

            Area =25 ft²

6. What is the area of triangle with base 7 and height 14 feet?

Solution:

Area = `(1)/(2)bh`

Given: Base= 7 feet.

         Height=14feet

                    =1/2 (7 x 14)

           Area =1/2 (98)

            Area =49 ft²

Geometric area of Circle

Area of the circle is calculated by multiplying pi ( π = 3.14) by the square of the radius

Area of the circle= π x r²

7. The radius(r) of a circle is 3 inches. Find the area of that circle?

Solution:

Area of the circle= π x r²

π=3.14

Given: r=3inches

          A=3.14 x (3)²

                   =3.14 x 9 inche^2.

    Area= 28.26 in^2.

8. The radius(r) of a circle is 7.5 meters. Find that area of the circle.

Solution:

Area of the circle is calculated by multiplying pi ( π = 3.14) by the square of the radius

Area of the circle= π x r²

π=3.14

Given: r= 7.5 meters

          A= 3.14 x (7.5)²

            =3.14 x 56.25

  Area =176.625 m²