Introduction
Area is a quantity expressing the two-dimensional size of a defined part of a surface, typically a region bounded by a closed curve. The surface area of a 3-dimensional solid is the total area of the exposed surface, such as the sum of the areas of the exposed sides of a polyhedron. (Source: From Wikipedia).
Here we are going to solve some practice problems, to find the area of basic regular shapes.
Practice problems to find the area
Square
The area of a square is given by the formula, A = a ^2 square units
Practice problem 1
Find the area of a square, with side lengths equal to 4 ft.
Solution
Area of the square = a ^2 square units
= 4^2
= 16 square feet
So teh area of the square = 16 square feet.
Rectangle
The area of a rectangle can be calculateed by the following formula,
Area of a rectangle, A = lb square units
Where, l = length and b = breadth of the rectangle.
Practice problem 2
What is the area of a 4 in by 6 in rectangle.
Solution
Area of a rectangle, A = lb square units
= 6 * 4 square inch
= 24 square inch
Answer: The area of the rectangle = 24 square inch
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Few more practice problems to find the area
Circle
The area of a circle = `pi` r^2 square units
Here, r is the radius of the circle.
Practice problem 3
Calculate the area of a circle with radius 10 centimeter.
Solution
Area of a circle = `pi` r^2 square units
= 3.14 * 102 square centimeter
= 314 square centimeter
So the area of the circle is 314 square centimeter.
Triangle
Area of a triangle = `1/2` b h square units
Where, b = base of the triangle
h = perpendicular height of the triangle
Practice problem 4
Find the area of a triangle whose base length is 5 meter and height is 10 meter.
Solution
Area of a triangle = `1/2` b h square units
= square meter
= 25 square meter
The area of the given triangle = 25 square meters
Area is a quantity expressing the two-dimensional size of a defined part of a surface, typically a region bounded by a closed curve. The surface area of a 3-dimensional solid is the total area of the exposed surface, such as the sum of the areas of the exposed sides of a polyhedron. (Source: From Wikipedia).
Here we are going to solve some practice problems, to find the area of basic regular shapes.
Practice problems to find the area
Square
The area of a square is given by the formula, A = a ^2 square units
Practice problem 1
Find the area of a square, with side lengths equal to 4 ft.
Solution
Area of the square = a ^2 square units
= 4^2
= 16 square feet
So teh area of the square = 16 square feet.
Rectangle
The area of a rectangle can be calculateed by the following formula,
Area of a rectangle, A = lb square units
Where, l = length and b = breadth of the rectangle.
Practice problem 2
What is the area of a 4 in by 6 in rectangle.
Solution
Area of a rectangle, A = lb square units
= 6 * 4 square inch
= 24 square inch
Answer: The area of the rectangle = 24 square inch
Is this topic solve equation by factoring hard for you? Watch out for my coming posts.
Few more practice problems to find the area
Circle
The area of a circle = `pi` r^2 square units
Here, r is the radius of the circle.
Practice problem 3
Calculate the area of a circle with radius 10 centimeter.
Solution
Area of a circle = `pi` r^2 square units
= 3.14 * 102 square centimeter
= 314 square centimeter
So the area of the circle is 314 square centimeter.
Triangle
Area of a triangle = `1/2` b h square units
Where, b = base of the triangle
h = perpendicular height of the triangle
Practice problem 4
Find the area of a triangle whose base length is 5 meter and height is 10 meter.
Solution
Area of a triangle = `1/2` b h square units
= square meter
= 25 square meter
The area of the given triangle = 25 square meters
