Question

A rectangle Garden is 120 m long and 35 m wide. find it area and perimeter​

Answer 1

Answer:Area is 4200m² and perimeter is310m.

Step-by-step explanation:

It's area is=120m×35m=4200m² (area=l×b)

It's perimeter=2(120+35)m=310m(perimeter=2(l+b).

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Answer 2

${\large{\pmb{\sf{\underline{\maltese \: \: Understanding \; the \; Question}}}}}$

This question says that we have to find the perimeter and the area of a rectangular garden whose length is 120 metres and breadth is 35 metres. Diagram of this question is given below as length and breadth of this field that is in the shape of rectangle :

$\begin{gathered} \sf Length \: \: \: \: \: \: \: \: \: \: \: \\ \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\bf {\red{}}\\{\qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{}\\ { \sf{ }}\\ { \sf{ }} \\ \\ { \sf{ }}\end{array}}\end{gathered}\end{gathered} \sf Breadth \end{gathered}$

$\begin{gathered} \sf 120 \: m \: \: \: \: \: \: \: \: \: \: \: \\ \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\bf {\red{}}\\{\qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{}\\ { \sf{ }}\\ { \sf{ }} \\ \\ { \sf{ }}\end{array}}\end{gathered}\end{gathered} \sf 35 \: m\end{gathered}$

${\large{\pmb{\sf{\underline{\maltese \: \: Given \; that}}}}}$

• Rectangular garden is given
• Length = 120 metres
• Breadth = 35 metres

${\large{\pmb{\sf{\underline{\maltese \: \: To \; find}}}}}$

• Perimeter of garden
• Area of garden

${\large{\pmb{\sf{\underline{\maltese \: \: Solution}}}}}$

• Perimeter of garden = 290 m
• Area of garden = 4200 m²

${\large{\pmb{\sf{\underline{\maltese \: \: Using \; concepts}}}}}$

• Perimeter of rectangle formula
• Area of rectangle formula

${\large{\pmb{\sf{\underline{\maltese \: \: Using \; formulas}}}}}$

${\small{\underline{\boxed{\sf{Perimeter \: = 2(length+breadth)}}}}}$

${\small{\underline{\boxed{\sf{Area \: = Length \times Breadth}}}}}$

${\large{\pmb{\sf{\underline{\maltese \: \: Full \; Solution}}}}}$

~ Firstly by using the formula to find perimeter of rectangle let's find the perimeter of the rectangular garden, we just have to put the values according to that formula! Let's do it!

${\small{\underline{\boxed{\sf{Perimeter \: = 2(length+breadth)}}}}}$

${\sf{:\implies Perimeter \: = 2(length+breadth)}}$

${\sf{:\implies Perimeter \: = 2(120+35)}}$

${\sf{:\implies Perimeter \: = 2(145)}}$

${\sf{:\implies Perimeter \: = 2 \times 145}}$

${\sf{:\implies Perimeter \: = 290 \: metres}}$

${\underline{\frak{Henceforth, \: perimeter of \: garden \: is \: 290 \: m}}}$

~ Now by using formula to find area of rectangle formula let us find the area of the rectangular garden, we just have to put the values according to the formula! Let's do it!

${\small{\underline{\boxed{\sf{Area \: = Length \times Breadth}}}}}$

${\sf{:\implies Area \: = Length \times Breadth}}$

${\sf{:\implies Area \: = 120 \times 35}}$

${\sf{:\implies Area \: = 4200 \: metres^{2}}}$

${\underline{\frak{Henceforth, \: area of \: garden \: is \: 4200 \: metres^{2}}}}$

${\large{\pmb{\sf{\underline{\maltese \: \: Knowledge \; booster}}}}}$

About area -

• The area can be defined as the space occupied by a flat shape or the surface of an object.

About perimeter -

• Perimeter - Perimeter is the distance along the lines forming a closed figure when we go round the figure ones.

We also define perimeter as -

• Perimeter - Perimeter is the length of the boundary of given closed figure.

About rectangle -

• A rectangle is a two dimensional shape, it have 4 sides and 4 corners. It's two sides are equal to each other and the left two are equal to each other. Except of diagonal it have length and breadth.

About length and breadth -

• Length measures that how much long an object is to other points.

• Breadth is the width of a shape.

Formulas -

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Area \: of \: rectangle \: = \: Length \times Breadth}}}$

$\; \; \; \; \; \; \;{\sf{\bold{\leadsto Perimeter \: of \: rectangle \: = \: 2(length+breadth)}}}$