Question

The area of a rectangular field whose length is twice its breadth is 450 square meters. Find it's length and breadth.​

Answer 1

area of a field=l*b

so, l*b=450

let breadth be = x, length be = 2x

x+2x=3x

3x=450

x=450/3=150

therefore, x=150 so, breadth= 150, length= 300

:)

Answer 2

Answer:-

• The length and breadth of rectangular field is 30m and 15m respectively.

Step-by-step explanation:

To Find :-

• The length and breadth of rectangular field

Solution:

Given that,

• The area of rectangular field = 450m²
• Length is twice it's breadth

$\underline{\large{\purple{\textsf{\textbf{Assumption}}}}}$

Let us assume the length and breadth of the rectangular field as

• Breadth = x
• Length = 2x

As we know that,

$\bigstar \: \: \: \underline{ \boxed{ \sf{Area = l \times \: b}}}$

Where,

• l = Length
• b = Breadth

Also given,

• (x) (2x) = 450m²

Therefore,

$\longrightarrow \: \sf{x \times 2x = 450}$

By multiplying,

$\longrightarrow \: \sf{(x)(2x) = 450}$

$\longrightarrow \: \sf{{2x}^{2} = 450}$

Transposing 2 to R.H.S,

$\longrightarrow \: \sf{{x}^{2} = \dfrac{450}{2}}$

By dividing,

$\longrightarrow \: \sf{{x}^{2} = \cancel{\dfrac{450}{2}}}$

$\longrightarrow \: \sf{{x}^{2} = 225}$

By simplifying,

$\longrightarrow \: \sf{x = \sqrt{225} }$

$\longrightarrow \: \sf{x = 15}$

So, The value of x is 15.

Now, The length and breadth is :-

• Length = 2x = (2*15)m = 30m
• Breadth = x = (15)m = 15m.

Hence, The length and breadth of Rectangular field is 30m and 15m respectively.