Question

The length of a rectangular field is thrice it's breadth. If it's perimeter is 560 m, then it's length is ​

Answer 1

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

Given:

Length of a rectangular field is thrice it's breadth.

Perimeter is 560 m.

To Find:

It's Length.

Solution:

ATQ

Length of a rectangular field is thrice it's breadth

Let length of rectangular field be = 3x

And

Breadth of rectangular field = x

Perimeter of rectangular field = 560m

Now as we know perimeter of rectangular field is equivalent to 2(Length + Breadth).

560 = 2(3x + x)

560 = 2(4x)

560 = 8x

x = 70m

3x = 3×70 = 210m

Breadth of rectangular field = x = 70m

Length of rectangular field = 3x = 210m

Hence, Length of rectangular field is 210m.

Answer 2

${\tt{\red{\underline{\underline{\huge{Solution:}}}}}}$

Given, Length of a rectangular field is $\bold{thrice \:it's \:breadth.}$

And, given Perimeter is $\bold{560\: m.}$

To Find: Length of the rectangular field.

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━

⠀⠀⠀☯Let's consider that Breadth of the rectangular field be x. So, Length would be

$:\implies\sf Length = 3x$

$\star\boxed{\sf{\pink{Perimeter_{(Rectangle)} = 2(Length + Breadth)}}}$

$\begin{gathered}:\implies\sf = 2(3x + x) = 560 \\\\\\:\implies\sf 2(4x) = 560 \\\\\\:\implies\sf 8x = 360\\\\\\:\implies x = \dfrac{\cancel{560}}{\cancel{\ 8}}\\\\\\:\implies\boxed{\frak{\purple{x = 70}}}\end{gathered}$

⠀⠀

Now, finding length:

⠀⠀

$\begin{gathered}:\implies\sf Length = 3x \\\\\\:\implies\sf Length = 3 \times 70 \\\\\\:\implies\boxed{\frak{\pink{Length = 210 \ m}}}\end{gathered}$

∴ Length and Breadth of the rectangular field is 210 & 70 m.

Tʜᴀɴᴋs!!