Math, asked by jyoti536, 1 year ago

the length of a rectangle is twice its breadth and the perimeter is 72 M find the length and breadth

Answers

Answered by Nikitan
4
Let the breadth be x m
Then the length will be 2x m
And perimeter is 72m
A.T.P,
2(2X+X)= 72
=>3X=72÷2
=>X= 36÷3
=>X= 12
So Breadth is 12 m
And Length being 2X is 24 m
Hope it helps u
Answered by Anonymous
1

S O L U T I O N :

\underline{\bf{Given\::}}

The length of a rectangle is twice it's breadth. If the perimeter is 72 m .

\underline{\bf{Explanation\::}}

Let the breadth of rectangle be x & the length of rectangle be 2x respectively.

As we know that formula of the perimeter of rectangle;

\boxed{\bf{Perimeter = 2(length + breadth)}}

A/q

\longrightarrow\tt{Perimeter = 2(Length + Breadth)}

\longrightarrow\tt{72= 2(2x+ x)}

\longrightarrow\tt{72= 2(3x)}

\longrightarrow\tt{72= 6x}

\longrightarrow\tt{x = \cancel{72/6}}

\longrightarrow\bf{x = 12\:m}

Thus,

The length of rectangle will be 2 × 12 = 24 m .

The breadth of rectangle will be 1 × 12 = 12 m .

Now,

C H E C K :

→ 72 = 2(L + B)

→ 72 = 2(24 + 12)

→ 72 = 2(36)

→ 72 = 72  [checked]

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