Question

if the length of a rectangular field is thrice of its breadth and area of rectangular field is 147m square,find its length and breadth​

Answer 1

Answer:

Step-by-step explanation:

Solution :-

Let the breadth of rectangular field be x m.

And the length of rectangular field be 3x m.

We know that,

Area of rectangle = Length × Breadth

It's given that,

Area of rectangular field = 147 m²

According to the Question,

Putting values, we get

Area of rectangle = Length × Breadth

⇒ 147 = 3x × x

⇒ 147 = 3x²

⇒ 147/3 = x²

⇒ 49 = x²

⇒ 7 = x

Length = x = 7 m.

Breadth = 3x = 3(7) = 21 m

Hence, the length and breadth of rectangular field is 7 m and 21 m.

Answer 2

Answer:

⋆ DIAGRAM :

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7.7,2){\sf{\large{n}}}\put(7.7,1){\large{B}}\put(9.4,0.7){\sf{\large{3n}}}\put(11.1,1){\large{C}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11.1,3){\large{D}}\end{picture}$

$\rule{150}{1}$

Let the Breadth of Rectangle be n, and Length of Rectangle be 3n.

$\underline{\bigstar\:\textbf{According to the Question :}}$

$:\implies\sf Area_{(Rectangle)}=Length \times Breadth\\\\\\:\implies\sf 147\:m^2=3n \times n\\\\\\:\implies\sf 147\:m^2=3n^2\\\\\\:\implies\sf \dfrac{147\:m^2}{3}=n^2\\\\\\:\implies\sf 49\:m^2=n^2\\\\\\:\implies\sf \sqrt{49\:m^2}=n\\\\\\:\implies\underline{\boxed{\sf n=7\:m}}$

$\rule{190}{2}$

$\underline{\bigstar\:\textsf{Dimensions of the Field :}}$

$\bullet\:\:\textsf{Length = 3n = 3(7 m) = \textbf{21 m}}\\\bullet\:\:\textsf{Breadth = n = \textbf{7 m}}$