November 10, 2008

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Real World Applications.

In this mini-lesson you’ll learn, with the help of several examples and solution, how to solve the problems involving real-world applications. Real world problems may include areas and perimeters of rectangles and triangles, volumes of boxes, other polygons etc. The over view of earlier learning including using the formulae for area of polygons will help you to apply the concepts and relationships in geometry to find solution to the application related problems. Let us look at an example: area of a walkway path in the garden, of outside length 25 m and width 20 m, the width of walkway path being 2 m, is 164 m^{2}. To determine area of the path, follow the steps:

In this mini-lesson you’ll learn, with the help of several examples and solution, how to solve the problems involving real-world applications. Real world problems may include areas and perimeters of rectangles and triangles, volumes of boxes, other polygons etc. The over view of earlier learning including using the formulae for area of polygons will help you to apply the concepts and relationships in geometry to find solution to the application related problems. Let us look at an example: area of a walkway path in the garden, of outside length 25 m and width 20 m, the width of walkway path being 2 m, is 164 m

- Find the area of large rectangle = 25 x 20=500 m
^{2} - Find the area of small rectangle = (25 - 2 - 2) x (20 - 2 - 2) = 336 m
^{2} - Area of path = Area of large rectangle – Area of small rectangle = 164 m
^{2}

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can buy our online course in Geometry by clicking here.

- Mathematics > General
- Mathematics > Geometry
- Education > General

- Grade 9
- Grade 10
- Grade 11
- Grade 12

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.?

use models to determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l + 2w), including the special form for perimeter of a square (4s) and the area of a rectangle (l x w); and

determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.