English, asked by jdthhxtj, 3 months ago

Length of a rectangular field is thrice it's breadth.
Perimeter is 560 m.
To Find: It's Length

Answers

Answered by ItzMiracle
95

\huge\boxed{\underline{\sf{\red{ᴀ}\green{ɴ}\pink{s}\orange{ᴡ}\blue{ᴇ}\pink{ʀ}}}}

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.

Answered by Sarventec
794

{\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!!

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