Question

The area of a rectangular plot is increased by 30% and its width remain as it was before. What will be the ratio between the area of new rectangle and the original rectangle?
1. 13:10
2: 10:13
3. 7:3
4. 3:7​

Answer 1

Answer:

If the area of a rectangular plot increase by 30% while its breadth remains same what will be the ratio of the areas of new and old figures ?

Explanation

Let original length = x and original breadth = y. ∴ Required ratio = (13xy10xy)=1310 = 13 : 10.

is it useful

Answer 2

Answer :-

• Ratio = 13 : 10 [option A]

Given :-

• Area of rectangular plot increased by 30%

To find :-

• Ratio between new and original rectangle

Explanation :-

Let the Original rectangle's area = y

New rectangle area = (100 + increased percentage) of original rectangle

$\longmapsto\rm \bigg(100 + 30\bigg) \times y$

$\longmapsto\rm \dfrac{100 + 30}{100} \times y$

$\longmapsto\rm \dfrac{130}{100}\times y$

$\longmapsto\bf \dfrac{13}{10}y$

Finding ratio,

$\longmapsto\rm \dfrac{13}{10}y = y$

$\longmapsto\rm 13y = 10\times y$

$\longmapsto\rm 13y = 10y$

$\red {\underline {\boxed{ \bf \longmapsto 13 =10 }}}$

Hence, the ratio between new rectangle and the original rectangle = 13 : 10 [Option A].