# Sarin learns Perimeter, Area and Volume in school part 61 (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 will learn how to deal with Math Modeling, Problem Sum from Lower Primary School to Upper Primary School level. This posting is an upper primary school math question on Triangle 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

Upper primary school mathematics question UPQ237

ABCD is a rectangle. Triangle AGE and Triangle ACE lie inside Rectangle ABCD,

(a) Find the ratio of the Triangle EFC to the area of the Triangle AFG.

(b) If CD = 12 cm and the area of the Triangle AFE is 11/24 of Triangle AGE, find the length of FH.

Solution:

Triangle AGE and Triangle ACE have the same base and same height

The area of Triangle AGE = the area of Triangle ACE

Triangle AFE is common

The ratio of the Triangle EFC to the area of Triangle AFG = 1 : 1

The Triangle AGE and Triangle AFE have same base (AE) but different in height

The area of Triangle AFE is 11/24 of Triangle AGE

The Height of Triangle AFE is 11/24 of Triangle AGE

The height FH = 12 × 11/24 = 5.5 cm