Question

The length of a field is twice that of breadth and the area of the field is 180m. Find the length of the field.

Answer 1

$\mathfrak{\large {\underline {\underline{Answer \: : - }}}}$

Length of the field is 120m

$\mathfrak { \large{\underline {\underline{Explanation \: : - }}}}$

Given :

Length of the field is twice of breadth

Area of the field is 180m²

To Find :

The length of the field

Solution :

Consider the breadth be x

Length = 2x

$\implies \sf 2x + x = 180m^{2} \\ \\ \implies \sf3x = 180 {m}^{2} \\ \\ \implies \sf x = \frac{180}{3} = 60m$

Breadth = 60

$\rule{300}{1.5}$

Value of 2x

$\implies \sf2 \times 60 \\ \\ \implies \sf 120$

Length = 120m

Breadth = 60m

$\rule{300}{1.5}$

∴ Length of the rectangular field is 120m

Answer 2

Step-by-step explanation:

let's

A=L×B

A is 180.

then put the value

l is twice

then

l= 2x

b=x

then .

a= l×b

180 = 2x × x

180 = 3x²

then

3x²= 180

x²= 180/3

x²= 60

or.

x = 60/2

x= 30

put the value