Question

A carpet of size 5m×2m has 25cm 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

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

Answer 2

Answer:

1:27

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