A carpet of size 5m×2m has 25 cm wide red border.the inner part of the carpet is blue in colour .find the area of blue portion and the ratio of blue portion to red portion.
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the area of red border is o.4375 sq.meters
the area of total carpet is 2.5 sq.meters
the area blue part is 2.0624 sq.meters
the ratio is 4.7140571429
the area of total carpet is 2.5 sq.meters
the area blue part is 2.0624 sq.meters
the ratio is 4.7140571429
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Step-by-step explanation:
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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