# Sarin learns Perimeter, Area and Volume in school part 114 (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 Shapes 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.

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

Upper primary school mathematics question UPQ543

In the diagram below, ABCD is a rhombus. Q is the mid-point of BD and AC.

Find the area of the blue region. Solution:

ABCD is a rhombus.

Since Q is the mid point of AC and BD,

The rhombus is divided to four equal parts.

The blue region is ¼ of the area of the rhombus or ½ of the area of the triangle ABD or BCD.

AD = BC = 5cm

The height of the triangle = 4 cm

Area of triangle ABD = ½ × 4 × 5 = 10 cm2

Area of the blue region = 10 ÷ 2 = 5 cm2

Or,

Area of the rhombus = 5 × 4 = 20 cm2

Area of the blue region = 20 ÷ 4 = 5 cm2