Question

help me with this sum and say the steps pls the 5 one ​

Answer 1

$\Large{\underline{\underline{\mathfrak{ \dag \: \: Given :}}}}$

• Length of a rectangular park = 100m.
• Breadth of the park = 45/2 m.

$\:$

$\Large{\underline{\underline{\mathfrak{ \dag \: \: To \: Find :}}}}$

• The area and perimeter of the rectangular park.

$\;$

$\Large{\underline{\underline{\mathfrak{ \dag \: \: Formulas \: Used :}}}}$

• $\bf{\fbox{\purple{ {Perimeter}_{(Rectangle)} = 2 × (l + b) }}}$

• $\bf{\fbox{\purple{ {Area}_{(Rectangle)} = l × b}}}$

Where,

ㅤㅤㅤ➪ l = length

ㅤㅤㅤ➪ b = breadth

$\:$

$\Large{\underline{\underline{\mathfrak{ \dag \: \: Solution :}}}}$

Here's given that length is 100m and width (breadth) is 45/2m. To find the perimeter of the rectangular park, we have to substitute the length and breadth (width) in the formula : Perimeter = 2 × (l + b). Let's do it !!

$\sf{ \leadsto \: {Perimeter}_{(Rectangle)} = 2 × (l + b) }$

$\sf{ \leadsto \: {Perimeter}_{(Rectangle)} = 2 × \Large ( \small 100 + \Large\frac{45}{2} ) }$

$\sf{ \leadsto \: {Perimeter}_{(Rectangle)} = 2 × \Large\frac{245}{2} }$

$\bf{ \leadsto \: {Perimeter}_{(Rectangle)} = 245 }$

$\pink{\textsf{\textbf{\underline{Hence, \: perimeter \: of \: the \: park \: is \: 245m.}}}}$

────────────

Now, we have to find the area of the park. So, we will substitute the length and breadth in the formula : Area = l × b. Let's do it !!

$\sf{ \hookrightarrow \: {Area}_{(Rectangle)} = l × b}$

$\sf{ \hookrightarrow \: {Area}_{(Rectangle)} = 100 × \Large\frac{45}{2} }$

$\sf{ \hookrightarrow \: {Area}_{(Rectangle)} = \cancel{100}^{ \: \: 50} × \Large\frac{45}{ \cancel{2}_{ \: 1} } }$

$\sf{ \hookrightarrow \: {Area}_{(Rectangle)} = 2250}$

$\pink{\bf{\underline{Hence, \: area \: of \: the \: park \: is \: {2250m}^{2} .}}}$