Question

The perimeter of a rectangular sheet is 100cm the Length of the sheet is 40cm! find the breadth and the area of it​

Answer 1

Answer:

Breadth=10cm

Area =400sq.cm

Answer 2

⠀Question -

The perimeter of a rectangular sheet is 100cm the Length of the sheet is 40cm! Find the breadth and the area of it.

Stated -

• Perimeter of rectangular sheet is 100cm
• Length of the sheet is 40cm

Asked -

• Breadth of the rectangular sheet
• Area of the rectangular sheet

Formulae to be used -

• Perimeter of Rectangle = 2(l + b)
• Area of rectangle = lb sq.units

Where -

• L stands for length
• B stands for breadth

Explanation -

⠀In the question, It has been said that perimeter of rectangular sheet is 100cm and the given length is 40cm. And it has been asked us to find the Breadth and the area of given rectangle.. Let's find out the answer

Firstly,

⠀As given the perimeter of rectangle as 100cm.

• Perimeter = 100cm
• Length = 40cm
• Breadth = Taken as b

$\nrightarrow$ Perimeter of Rectangle = 2(l + b)

$\nrightarrow$ Perimeter of Rectangle = 2(40 + b)

$\nrightarrow$ 100cm = 2(40+b)

$\nrightarrow\sf \dfrac{100}{2} = (40 + b)$

$\nrightarrow$ 50 = (40 + b)

$\nrightarrow$ 50 — 40 = b

$\nrightarrow\underline{\sf{\red{10cm = b}}}$

— Therefore, The breadth of the rectangular sheet is 10cm

Now,

⠀Let's find out the area of rectangle by using the formula of area of rectangle.

$\nrightarrow$ Area of rectangle = lb sq.units

$\nrightarrow$ Area of rectangle = (40 × 10)

$\nrightarrow\underline{\sf{\red{Area\: of\: rectangle\: = {400cm}^{2}}}}$

Final Answer -

⠀⠀— Breadth of given rectangle is 10cm and the area of rectangle is 400cm²

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