Question

A carpet of size 5m ×2m has 25m wide red border . The inner part of the carpet is blue in color. Find the area of the blue portion. What is the ratio of the red portion to blue portion.​

Answer 1

Step-by-step explanation:

Given : -

• A carpet of size 5m ×2m has 25m wide red border .

• The inner part of the carpet is blue in color.

To Find : -

1. Find the area of the blue portion.
2. What is the ratio of the red portion to blue portion.

Solution : -

Convert all to cm:

5m = 500 cm

2m = 200 cm

.

Area of the whole carpet

= 500 x 200

= 100000 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

Step-by-step explanation:

$What would you like to ask?</p><p></p><p>MATHS</p><p></p><p>A carpet of size 5 m ×2 m has 25 cm wide red border. The inner part of the carpet is blue in colour. Find the area of blue portion. What is the ratio of the areas of red portion to blue portion.</p><p></p><p>Share</p><p></p><p>Study later</p><p></p><p>ANSWER</p><p></p><p>Given, size of carpet=5×2m2 and width of border=25cm=10025=0.25m</p><p></p><p>∴ Area of carpet ABCD=AB×BC=5×2=10m2 because area of rectangle= length × breadth.</p><p></p><p>So, length of inner blue portion,EF=AB−(2×0.25 cm)=5−0.50=4.5m</p><p></p><p>and breadth of inner blue portion FG=BC−(2×0.25)=2−0.50=1.5m</p><p></p><p>Area of blue portion=Area of rectangleEFGK=EF×FG=4.5×1.5=6.75m2</p><p></p><p>Now, area of red porion=Area of ABCD−Area of EFGH=10−6.75=3.25m2</p><p></p><p>∴ Ratio of areas of red portion to blue portion=3.25:6.75=13:27</p><p></p><p></p><p></p><p>$

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