A circular carpet of diameter 7 m has 7m wide red border.
The inner part of the carpet is blue in colour. Find the area
of blue portion. What is the ratio of areas of red portion to
blue portion ?
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Convert al to cm:
5m = 500 cm
2m = 200 cm
.
Area of the whole carpet = 500 x 200 = 100 000 cm²
.
Find Length and breadth of the blue portion:
Length = 500 - 25 - 25 = 450 cm
Breadth = 200 - 25 - 25 = 150 cm
.
Find area of the blue portion:
Area = Length x Breadth
Area = 450 x 150 = 67500 cm²
.
Find the area of the red portion:
Area = 100 000 - 67500 = 32500 cm²
.
Ratio of the red portion to blue portion:
Red : Blue = 32500 : 67500 = 1 : 27
.
Answer: 1 : 27
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