Question

A carpet of size 5 mx 2 m has 2.5 cm wide red border. The inner part of the carpet is blue in colour. Find the area of the blue portion. what is the ratio of the areas of red
portion to blue portion?
​

Answer 1

Step-by-step explanation:

Given, size of carpet=5×2m

2

and width of border=25cm=

100

25

=0.25m

∴ Area of carpet ABCD=AB×BC=5×2=10m

2

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 rectangleEFGK=EF×FG=4.5×1.5=6.75m

2

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

2

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