Math, asked by bandgardhondiba777, 1 month ago

एका आयताची लांबी त्याच्या रुंदीच्या दुपटीपेक्षा 5 ने जास्त आहे या आयताची परिमिती 52 सेमी असल्यास आयताची लांबी किती​

Answers

Answered by bhagyashreechowdhury
4

Given:

एका आयताची लांबी त्याच्या रुंदीच्या दुपटीपेक्षा 5 ने जास्त आहे या आयताची परिमिती 52 सेमी असल्यास

A length of a rectangle is 5 cm more than twice its breadth and the perimeter of the rectangle is 52 cm

To find:

आयताची लांबी किती​

Its length and breadth

Solution:

We know,

\boxed{\bold{Perimeter\:of \:a \:rectangle = 2(length + breadth)}}

Let,

"l" → represents the length of the rectangle

"b" → represents the breadth of the rectangle

A length of a rectangle is 5 cm more than twice its breadth, so, the equation will be,

l = 2b + 5

The perimeter of the rectangle = 52 cm

2 (l + b) = 52

\implies 2 (2b + 5 + b) = 52

\implies 2 (3b + 5) = 52

\implies 6b + 10 = 52

\implies 6b  = 42

\implies b  = \frac{42}{6}

\implies \bold{b  = 7\:cm}

\bold{l} = 2b + 5 = 2\times 7 + 5 = 14 + 5 = \bold{19\:cm}

Thus,

The length of the rectangle is → 19 cm

The breadth of the rectangle is → 7 cm

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Also View:

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