Question

a carpet of size 5 metre into 2 metre has 25 cm wide red border the inner part of the carpet is blue in colour find the area of the blue portion what is the ratio of the areas of red portion to Blue portion​

Answer 1

Length of carpet = 5 m

Breadth of carpet = 2 m

Area of carpet (Area of rectangle) = length × breadth

= 5 m 2 m

= 500 cm 200 cm

= 100000 cm²

Length of blue portion in carpet : 500 - 25 - 25

= 500 - (25 + 25)

= 500 - 50

= 450 cm

Breadth of blue portion in carpet : 200 - 25 - 25

= 200 - (25 + 25)

= 200 - 50

= 150 cm

Area of blue portion (Area of rectangle for blue portion) = length × breadth

= 450 × 150

= 67500 cm²

Now,

Area of red portion : Total area of carpet - Area of blue portion

Substitute the known values in above formula

= 100000 - 67500

= 32500 cm²

We have to find the ratio of red portion to the blue portion of carpet.

So,

→ Red : Blue

→ 32500 : 67500

→ 13 : 27

∴ Ratio of red portion to blue portion of carpet is 13:27

Answer 2

Step-by-step explanation:

Given

length = 5m = 500 cm

breadth = 2m =200 cm

Area of carpet

length × breadth = 500 × 200

=100000 cm^2

now length and breadth of blue portion

length = 500 - 25 - 25 = 450 cm

breadth = 200 - 25 - 25 = 150 cm

• area of blue portion

area = 450 × 150

area = 67500 cm^2

Area of red portion

=area of whole carpet - area of blue

portion.

= 100000 - 67500 = 32500 cm^2

Required ratio of areas of red portion

to blue portion is

32500 : 67500

325 : 675

13 : 27