Q111 of 131 Page 226

A carpet of size 5 m × 2 m has 25 cm wide red border. The inner part of the carpet is blue in color (Fig. 9.56). Find the area of blue portion. What is the ratio of areas of red portion to blue portion?

Length of the carpet = 5 m


Breadth of the carpet = 2m


Area of the carpet =5 × 2 = 10 m2


Length of border = 25 cm = 0.25 m


Length of inner blue portion = Length of the carpet - 2 × length of border = 5 - 2 × 0.25 = 4.5 m


Breadth of inner blue portion = Breadth of the carpet - 2 × breadth of border = 2 - 2 × 0.25 = 1.5 m


Area of blue portion = 4.5 × 1.5 = 6.75 m2


Area of red portion = Area of the carpet - Area of blue portion= 10 – 6.75 = 3.25 m2



Ratio of areas of red portion to that of blue portion = 13:27


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