Question

3. The perimeter of a rectangle is 50 m and its breadth is 12 m. Find its:
(1) length
(i) area​

Answer 1

➤ Given :-

Perimeter of the rectangle :- 50 metres

Breadth of the rectangle :- 12 metres

➤ To Find :-

Length and area of the rectangle.............

➤ Formula required :-

Length :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{Perimetre}{2} - Breadth}}}}$

Area :-

${\large \tt \dashrightarrow \orange{ \boxed{\tt \gray{Length \times Breadth}}}}$

➤ Solution :-

First, we should find the length of the rectangle because to find area both length and breadth are necessary..............

Length of the rectangle :-

${\tt \longrightarrow \dfrac{50}{2} - 12}$

${\tt \longrightarrow \cancel \dfrac{50}{2} - 12 = \boxed{\tt 25 - 12}}$

${\tt \longrightarrow 13 \: \: Metres}$

Now,

Area of the rectangle :-

${\tt \longrightarrow 13 \times 12}$

${\tt \longrightarrow 156 \: \: Metres^{2}}$

$\Huge\therefore$ The length of the rectangle is 13 metres and area of the rectangle is 156² metres.

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$\dashrightarrow$ Some related formulas :-

Breadth (rectangle) :-${\boxed{\sf\dfrac{Perimetre}{2} - Length}}$

Perimeter (rectangle) :-${\boxed{\sf 2 (length+breadth)}}$

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More to know..................

• Rectangle is a 4-sided, 2-D figure. The finding of area and perimeter of the rectangle is a sum in mathematics. It is a shape which has the opposite sides equal. The finding of area and perimeter of rectangle and many other figures is very useful in our daily lives.
• Finding the perimeter of rectangle is used when the park is being fenced or the house is getting a boundary etc......
• Finding the area of the rectangle is used when the park is being tiled or the floor of the house is getting mat on it.

Answer 2

Question :-

The perimeter of a rectangle is 50 m and its breadth is 12 m. Find its:

(1) length

(2) area​

Given :-

• Breath = 12 meters

• Perimeter of rectangle = 50 meters

Formulas to find solution  :-

$\boxed{\mathsf{Area\:of\:rectangle\:=\:Length\:\times\:Breath}}$

$\boxed{\mathsf{perimeter\:of\:rectangle\:=\:2(Length\:+\:Breath)}}$

Solution 1 :-

• Here we will use Perimeter of rectangle to find length .

• Let length be x

$\mathsf{:\longrightarrow\:Perimeter\:of\:rectangle\:=\:2(Length\:+\:Breath)}$

$\mathsf{:\longrightarrow\:50\:=\:2(x\:+\:12)}$

$\mathsf{:\longrightarrow\:\dfrac{50}{2} \:=\:x\:+\:12}$

• now by cuting fraction by the multiple of 2 we get 25

$\mathsf{:\longrightarrow\:25 \:=\:x\:+\:12}$

$\mathsf{:\longrightarrow\:25\:-\:12 \:=\:x}$

$\mathsf{:\longrightarrow\:13\:=\:x}$

• Now put the value of x = 13
• as we know we take the length be x

Length = x = 13 meters

• LENGTH = 13 meters

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Solution 2 :-

• Here we have length and breath so now we will use formula of area of rectangle .

$\mathsf{:\longrightarrow\:Area\:of\:rectangle\:=\:Length\:\times\:Breath}$

$\mathsf{:\longrightarrow\:Area\:of\:rectangle\:=\:13\:\times\:12}$

$\mathsf{:\longrightarrow\:Area\:of\:rectangle\:=\:156\:m^{2} }$

Final answer :-

Solution 1 :-

$\boxed{\mathsf{\:Length\:13\:m}}$

Solution 2 :-

$\boxed{\mathsf{Area\:of\:rectangle\:=\:156\:m^{2}}}$