Question

The perimeter of a rectangle is equal to that of a square with side 13meter .if the rectangle is 16meter long,what is its breadth
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Answer 1

Answer:

The breadth of the rectangle is 20 m

Step-by-step explanation:

$\textsf{We know that:}$

• Perimeter of a rectangle = Perimeter of a square with side 13.

$\textsf{We need to find the perimeter of the square}$

${\underline{\underline{Formula :}}}$

• 4Side

$\implies$ 13 × 4 m

$\implies$ 52 m

$\textsf{Perimeter of Triangle = 52 m}$

$\textsf{Given:}$

• Perimeter = 52 m
• Length = 16 m
• Breadth = ?

$\textsf{We need to find the perimeter of the rectangle}$

${\underline{\underline{Formula :}}}$

• 2( l + b)

According to problem ,

$\implies$ 52 = 2( 16 + ?)

$\implies$ 52 = 32 + ?

$\implies$ 52 - 32 = ?

$\implies$ 20 = ?

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Answer 2

The breadth of the rectangle is 10 meter.

Explanation:

The length of the side of the square is 13 meter.

We know that,

Perimeter of a square = 4× side

                                     = (4×13) meter

                                    = 52 meter.

The perimeter of the square = the perimeter of the rectangle = 52 meter.

The length of the rectangle = 16 meter.

Let, the breadth of the rectangle be, 'b'.

We know that,

Perimeter of a rectangle = 2(length+breadth)

∴ According to the problem,

52 = 2(16+b)

⇒ 2(16+b) = 52

⇒ 16+b = 52/2

⇒ 16+b = 26

⇒ b = 26-16

⇒ b = 10 meter

Hence, the breadth of the rectangle is 10 meter.

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#BAL