Question

1. A carpet of size 5 m x 2 m has 25 cm wide red border. The inner part of the carpet
is blue in colour. Find the area of blue portion. What is the ratio of the areas of red
portion to blue portion?
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Answer 1

Answer:

A carpet of size 5 m x 2 m has 25 cm wide red border. The inner part of the carpet

is blue in colour. Find the area of blue portion. What is the ratio of the areas of red

portion to blue portion?

Answer 2

Step-by-step explanation:

Given, size of carpet=5×2m²  and width of border=25cm= 25/100 =0.25m

∴ Area of carpet ABCD=AB×BC=5×2=10m² because area of rectangle= length × breadth.

So, length of inner blue portion,EF=AB−(2×0.25 cm)=5−0.50=4.5m

and breadth of inner blue portion FG=BC−(2×0.25)=2−0.50=1.5m

Area of blue portion=Area of rectangle EFGK=EF×FG=4.5×1.5=6.75m²

Now, area of red porion=Area of ABCD−Area of EFGH=10−6.75=3.25m²

∴ Ratio of areas of red portion to blue portion=3.25:6.75=13:27

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