Sarin learns Perimeter, Area and Volume in school part 115 (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 presents the Math Concept, the Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can acquire the skill of dealing with the Math Modeling, the Math Problem Solving and the 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 FractionShapes and Area.

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

Read also the posting on Sarin learns Shapes and Solids in school (Math Concept) to know about shapes.

Read the posting on Sarin learns the concept of Fraction (mathematics concept) to understand the concept of Fraction.

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

Upper primary school mathematics question UPQ545

The figure below is made up of a right-angle triangle and a rhombus overlapping each other. 2/9 of the triangle and ½ of the rhombus are not overlapped.

The base and height of the triangle are 18cm and 28 cm respectively.

What is the area of the rhombus?

UPQ545-1

Solution:

2/9 of triangle not overlapped ==> 7/9 of the triangle is overlapped

½ of the rhombus overlapped ==> ½ of the rhombus is overlapped

The overlapped area (yellow region) are equal size(area),

1 part of the rhombus equal to 7 parts of the triangle

½ = 7/14 of rhombus ==> 7/9 of the triangle

The area of the triangle = ½ × 18 × 28 = 252 cm2

UPQ545-2

9 units = 252

1 unit = 28 cm2

The area of the rhombus = 14 × 28 = 392 cm2

   More Questions on Shape and Area. Click here….

More Questions on Fraction. Click here….

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