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 area of red potion to blue portion. ​

Answer 1

$\large{\frak{\underline{Solution:-}}}$

ATQ, we have:

• A rectangular carpet of measurement 5m × 2m
• It has a 25 cm wide red border and the inner portion of carpet is blue.

Need to find:

• The area of blue portion.
• The ratio of the area of red potion to blue portion.

★ Area of blue portion:

As from the attachment, we can see that measurement of blue portion:

Width of border: 25 cm = 0.25 m

• Length of blue portion = 5m - 0.25m = 4.75m
• Breadth of blue portion = 2m - 0.25m = 1.75m

♦Area: Length × Breadth

⠀⠀⠀ ⠀= 4.75 × 1.75

⠀⠀⠀ ⠀= 8.3125/ 8.31m²

★ Ratio of area from red portion to blue portion:

Let us, first find the area of red portion and will calculate the ratio then:

♦Area of red portion,

= Total area of carpet - area of blue portion

= ( length × breadth ) - 8.31

= ( 5 × 2 ) - 8.31

= 10 - 8.31

= 1.69m²

♦Ratio:

= ${\sf{\dfrac{Area\;of\; red \;portion}{Area\;of \;blue\;portion}}}$

= ${\sf{\dfrac{1.69}{8.31}}}$

= ${\sf{\dfrac{1.6}{8.3}}}$ (Approx)

______________________________