Question

The length and breadth of a rectangle are in the ratio 3 : 2 respectively. If the sides of the rectangle are extended on each side by 1 m, the ratio of length to breadth becomes 10 : 7. Find the area of the original rectangle in square metres.​

Answer 1

Answer:

$\huge\underline\bold {Answer:}$

Let the length and breadth of the rectangular garden be 5x metres and 3x metres.

Given 2(5x + 3x) = 160

=> 16x = 160

=> x = 10

Therefore length of garden

= 50 m and

Breadth of garden

= 30 m

Area of 5 m road around its outside

= (50 + 10) × (30 + 10) – 50 × 30

= 60 × 40 – 50 × 30

= (2400 – 1500)m^2

= 900 m^2.

Answer 2

Step-by-step explanation:

$\huge\underline\mathbb\red{GIVEN-:}$

the length and breadth of a rectangle are in the ratio 3:2 respectively

$\huge\underline\mathbb\blue{THEN}$

let the length and breadth of the rectangle be 3x,2x respectively.

If the sides of the rectangle are extended on each side by 1 m then length and breadth will be 3x+1 m and 2x+1 m.

According to the QUESTION:-

$\frac{3x + 1}{2x + 1} = \frac{10}{7}$

$⇒ 20x+10=21x+7$

$x=3.$

So length and breadth are 9,6 m respectively.

$\huge\underline\mathbb\green{NOW}$

area of the rectangle be,

∴ 

$9×6=54  {m}^{2}$

Hope its help you! :D