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 Ratio 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.
Also to read the posting on Sarin learns concept of ratio in school to understand the concept of Ratio.
Challenge yourself with the question before look out for the given solution‼!
Upper primary school mathematics question UPQ417
The figure below, not drawn to scale, shows a figure formed by two rectangles, Rectangle A and Rectangle B. 3/7 of Rectangle A and 1/5 of Rectangle B are overlapped and in orange.
(a) What is the ratio of the blue area of Rectangle A to the blue area of Rectangle B? (Give your answer in simplest form)
(b) If the orange area is 75 cm2, what is the area of the blue area of the whole figure?
The overlapping of the rectangles gives 3/7 of the area of rectangle A equal to 1/5 of area of the triangle B
Draw the model based on the area ratio
The ratio of the blue area of Rectangle A to the blue area of Rectangle B = 1 : 3
The orange area is 75 cm2
3 units = 75
1 unit = 25 cm2
The area of the blue area of the figure = 16 × 25 = 400 cm2