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

Answer:

54

Step-by-step explanation:

Let the length be x meters. That means the breadth would be 2x/3, and the area will be 2x^2/3. If both sides are extended by 1, then the new length is x + 1, and the new breadth is 2x/3 + 1, but the new breadth is also 7(x+ 1)/10, so:

2x/3 + 1 = (7x + 7)/10

20x + 30 = 21x + 21

30 - 21 = 9 = x

x = 9, so the area is 2(9)^2/3 = 54.