# Sarin learns Perimeter, Area and Volume in school part 95 (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 perimeter and 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 UPQ426

A Trapezium is formed by a square ABDE and a triangle BCD. The area of the trapezium is 42cm2 and the length of ED is three times the length of DC. Find the length of ED.

Solution:

The length of ED is 3 times of the length of DC

BD is the height of the triangle BCD

We can fit the triangles in the square as shown

The area of the trapezium is 7 times the area of the triangle BCD

The area of the triangle BCD = 42 ÷ 7 = 6 cm2

The area of the square ABDE = 6 × 6 = 36 cm2

The length of ED = 6 cm

The length of DC = 6 ÷ 3 = 2 cm