Question

the perimeter of a rectangular sheet is 110cm if the length is 30cm find its breadth and area? ​

Answer 1

Answer:

Breadth = 25 cm

Area = 750 cm square

Step-by-step explanation:

Perimeter = 110 cm

2(l + b) = 110

2(30 + b) = 110

60 + 2b = 110

2b = 110 - 60

     = 50

b = 50/2 = 25 cm

Area = l x b

        = 30 x 25

        = 750 cm square.

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Answer 2

Given :

• ➻ Perimeter of a rectangular sheet is 110cm and the length is 30 cm.

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To Find :

• ➻ Find the breadth and area.

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Solution :

~ Formula Used :

$\large{\color{cyan}{\bigstar}} \: \: {\underline{\boxed{\red{\sf{ Perimeter{\small_{(Rectangle) }} = 2(Length + Breadth) }}}}}$

$\large{\color{cyan}{\bigstar}} \: \: {\underline{\boxed{\red{\sf{ Area{\small_{(Rectangle) }} = Length \times Breadth }}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━}$

~ Calculating the Breadth :

★ Here :

• ➬ Perimeter = 110 cm
• ➬ Length = 30 cm
• ➬ Breath = b = ?

★ Calculation Starts :

${:\longmapsto{\qquad{\rm{ Perimeter{\small_{(Rectangle) }} = 2(Length + Breadth) }}}} \\ \\ \ {:\longmapsto{\qquad{\rm{ 110 = 2(30 + b) }}}} \\ \\ \ {:\longmapsto{\qquad{\rm{ 110 = 60 + 2b }}}} \\ \\ \ {:\longmapsto{\qquad{\rm{ 110 - 60 = 2b }}}} \\ \\ \ {:\longmapsto{\qquad{\rm{ 50 = 2b }}}} \\ \\ \ {:\longmapsto{\qquad{\rm{ \cancel\dfrac{50}{2} = b}}}} \\ \\ \ {\qquad{\rm{ Breadth \: of \: Rectangle \: = {\color{orange}{\rm{ 25 \: cm}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━}$

~ Calculating the Area :

★ Here :

• ➬ Area = ?
• ➬ Length = 30 cm
• ➬ Breadth = 25 cm

★ Calculation Starts :

${:\longmapsto{\qquad{\rm{ Area{\small_{(Rectangle) }} = Length \times Breadth }}}} \\ \\ \ {:\longmapsto{\qquad{\rm{ Area{\small_{(Rectangle) }} = 30 \times 25 }}}} \\ \\ \ {\qquad{\rm{ Area \: of \: Rectangle \: = {\color{green}{\rm{ 750 \: cm² }}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━}$

Therefore :

❝ Breadth of the rectangular sheet is 25 cm and its area is 750 cm² . ❞

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