Question

the length of a rectangular feild is thrice its breath is and its perimeter is 120 then the length of a flied is

Answer 1

got the answer mate??

Answer 2

Answer :-

Length = 45 units

Breadth = 15 units

Explaination :-

Given :-

Length : Thrice of the Breadth

Perimeter : 120 units.

To find :

Length of the field

Solution :

Consider Breadth as $\texttt{x}$

Consider Length as $\texttt{3x}$

$\texttt{Perimeter of Rectangle :}$

$\tt{ \Rightarrow 2( b + l)}$

$\tt{ \Rightarrow 2(x + 3x) = 120}$

$\tt{ \Rightarrow 2x + 6x = 120}$

$\tt{ \Rightarrow8x = 120 }$

$\tt{ \Rightarrow x = \dfrac{120}{8} }$

$\tt{ \Rightarrow Divide 120 by 8}$

$\tt{ \Rightarrow x = 15}$

$\textsf{\large{Breadth = 15 units}}$

$\textsf{\large{Length = }}$

$\tt{ \Rightarrow 3x}$

$\tt{ \Rightarrow 3 \times x}$

$\tt{ \Rightarrow 3 \times 15}$

$\tt{ \Rightarrow 45}$

$\textsf{\large{Length = 45 units }}$

$\textsf{\large{Verification}}$

$\tt{ \Rightarrow 2(b + l)}$

$\tt{ \Rightarrow 2(15 + 45) = 120}$

$\tt{ \Rightarrow 30 + 90 = 120}$

$\tt{ \Rightarrow 120 = 120}$

$\therefore$LHS = RHS

$\therefore$$\textsf{\large{The Length of the Rectangle is 45 units }}$

$\textsf{\large{The Breadth is 15}}$