Sarin, Hairu and Fatimah make greeting cards for Mother’s Day part 16 (Math Question)

Standard

The blog postings are about the Singapore Math. The readers can learn from the postings on 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 the skill of dealing with Math Question Solving, Math Modeling and Problem Sums from Lower Primary School to Upper Primary School level after reading the blog poetings. This posting is an upper primary school math question on Area.

You can read the story of Sarin and the siblings making greeting cards for their mother by reading the posting on Sarin, Hairu and Fatimah make greeting cards for Mother’s Day in Welcome page.

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

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

Upper primary school mathematics question UPQ287

Sarin has a new design of his greeting card. Four coloured triangles are placed inside a rectangle of sides 30cm by 22cm as shown in the diagram below. The vertexes of the coloured triangles meet at the same point Q. The base lengths of the coloured regions are 10cm and 9cm. Find the area coloured region.

Solution:

By added two dotted lines as shown

The area of both the10cm base triangles = ½ × 30 × 10 = 150 cm2

The area of both the 9cm base triangles = ½ × 22 × 9 = 99 cm2

The area of the shaded region = 150 + 99 = 249 cm2