Question

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 1

$\huge\star\underline{ \underline \pink {\mathfrak{answer}}} \star$

13:27

$\huge\star\underline{ \underline \pink {\mathfrak{explanation}}} \star$

Convert all into 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 = 13 : 27

$\textbf{Hope\: it\: helps\: you\: ❤️ }$

Answer 2

$\huge\pink{\mathfrak{answer}}$

Convert all into 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 = 13 : 27