Sarin learns Perimeter, Area and Volume in school part 75 (Math Question)

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The blog postings are about the Singapore Math. The readers can learn from the postings about Solving Singapore Primary School Mathematics. The blog presenting the Math Concept, Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can acquire the skill of dealing with Math Modeling, Math Problem Solving and Problem Sum from Lower Primary School to Upper Primary School level after reading the blog postings. This posting is an upper primary school math question on Ratio and Area.

You can read posting Sarin learns Perimeter, Area and Volume in school(Math Concept) to learn the concept of perimeter and area.

You should read the posting on Sarin learns Average Number, Percentage and Charting in school (Math Concept) to understand the concept of Percentage.

Also to read the posting on Sarin learns concept of ratio in school to understand the concept of Ratio.

Challenge yourself with the question before look out for the given solution‼!

Upper primary school mathematics question UPQ327

What is the area of the orange triangle in the figure shown below?

UPQ327-1

 

 

 

 

Solution:

            The height of the orange triangle = 24cm

            The base of the orange triangle = 13 – 6 = 7cm

            The area of the orange triangle = 24 × 7 ÷ 2 = 84cm2

Alternative Solution:

UPQ327-2

 

 

 

 

            The area of the figure (rectangle) = 24 × 13 = 312cm2

            The area of white triangle = half of the rectangle = 312 ÷ 2 = 156cm2

            The orangle triangle and the white triangle have the same height = 24cm

            The areas of the triangles are proportion to the ratio of the base length

            The base length of the orange triangle = 13 – 6 = 7cm

            The ratio of base length of orangle triangle to base length of white triangle = 13 : 7

UPQ327-3

 

 

                        13 units = 156

                        1 unit = 12cm2

                        The area of the orange triangle = 7 × 12 = 84cm2

More Questions on Ratio. Click here….

More Questions on Area. Click here….

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