Sarin learns Perimeter, Area and Volume in school part 71 (Math Question)

Standard

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 can acquire the skill of dealing with Math Modeling, Math Problem Solving and 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, Area and Perimeter.

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

Read also 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 UPQ276

The ratio of the length of a rectangle to its breadth is 5 : 1. Given that the area of the rectangle is 125 cm2, find its perimeter.

Solution:

From the model,

Area of one unit = 125 ÷ 5 = 25cm2

B × B = 25 = 5 × 5

The breadth of the rectangle = 5 cm

The length of the rectangle = 5 × 5 = 25cm

The perimeter of the rectangle = 5 × 6 × 2 =  60cm

Alternative solution:

The length (L) is 5 times the breadth (B)

Area = Length × Breadth

5B × B = 125

B × B = 25

B = 5cm

L = 5 × 5 = 25cm

Perimeter = 2 × 30 = 60cm