A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

29m²

Step-by-step explanation:

This shape contains 2 shapes that we are familiar with, a triangle and a square. We need to know how to work out the area of a triangle and a rectangle so

→ Area of a rectangle = Length × Width

→ Area of a triangle = 0.5 × Base × Height

In this question we are asked to find the area of shaded region so the first step would be to work out the area of rectangle. Then work out the area of the triangle. Finally minus the 2 answers from each other.

→ First step would be to work out the area of rectangle

Area of a rectangle = Length × Width

Area of a rectangle = 7 × 5 = 35m²

→ Then work out the area of the triangle.

Area of a triangle = 0.5 × Base × Height

Area of a triangle = 0.5 × 4 × 3

Area of a triangle = 6m²

→ Finally minus the 2 answers from each other

35m² - 6m² = 29m²

The area of the shaded region is 29m²

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

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