Question

tannu = length = 3m breadth = ? perimeter =10m area = ?​

Answer 1

length = 3m

breadth = ?

perimeter = 10m

area = ?

perimeter of a rectangle = 2(l+b)

10 = 2(3+ b)

10/2 = 3 + b

5 = 3 + b

5 - 3 = b

2 = b

area of a rectangle = l x b

= 3 x 2

= 6cm²

Answer 2

$\star \; {\underline{\boxed{\pmb{\purple{\sf{ \; Given \; :- }}}}}}$

• Length of Rectangle = 3 m
• Perimeter of Rectangle = 10 m

$\star \; {\underline{\boxed{\pmb{\gray{\sf{ \; To \; Find \; :- }}}}}}$

• Breadth of Rectangle = ?
• Area of Rectangle = ?

$\star \; {\underline{\boxed{\pmb{\orange{\sf{ \; SolutioN \; :- }}}}}}$

$\bigstar$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Perimeter = 2 \bigg( Length + Breadth \bigg) }}}}}$

• ${\underline{\boxed{\pmb{\sf{ Area = Length \times Breadth }}}}}$

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$\bigstar$ Calculating the Breadth :

${\dashrightarrow{\qquad{\sf{ Perimeter = 2 \bigg( L + B \bigg) }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ 10 = 2 \bigg( 3 + B \bigg) }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ 10 = 6 + 2B }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ 10 - 6 = 2B }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ 4 = 2B }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ \dfrac{4}{2} = B }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ \cancel\dfrac{4}{2} = B }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\red{\pmb{\frak{ Breadth = 2 \; m }}}}}}}}$

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$\bigstar$ Calculating the Area :

${\longmapsto{\qquad{\sf{ Area = Length \times Breadth }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ Area = 3 \times 2 }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\green{\pmb{\frak{ Area = 6 \; {m}^{2} }}}}}}}}$

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$\bigstar$ Therefore :

❛❛ Breadth of the Rectangle is 2 m and its Area is 6 cm² . ❜❜

$\\ {\underline{\rule{300pt}{9pt}}}$