Question

The area of a rect is the same as the area of a 10 m long sq. if the length of rect is 25m then find its breadth and the perimeter ​

Answer 1

Step-by-step explanation:

Letthebreadth=xcm

length=x+10

Perimeter=80m

2(l+b)=80m

l+b=40

x+10+x=40

x=15cm

then,length=15+10=25

l=25cm

Dimension(l,b)=(25cm,15cm)

area=l×b

=25×15

=375cm

2

Answer 2

➤ Given :-

Side of a square :- 10 metres

Length of the rectangle :- 25 metres

The area of square and rectangle is same

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➤ To Find :-

• Breadth of the rectangle.
• Perimeter of the rectangle.

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➤ Formula required :-

Breadth :-

${\tt \large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{Area_{(rectangle)}}{Length_{(rectange)}}}}}}$

Perimeter :-

${\tt \large \dashrightarrow \orange{\boxed{\tt \gray{2 \: (Length + Breadth)}}}}$

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★ How to do :-

Here, we are given with the side of a square and the length of the rectangle. The area of the square and the rectangle is same. So, first we should find the area of the square by multiplying the side of square. Then, we can find the breadth of the rectangle by using the given formula, because the area of square and rectangle is same. Later, we can find the perimetre of the rectangle by using the second formula. So, let's solve!!

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➤ Solution :-

Area of the square :-

${\tt \leadsto 10 \times 10}$

${\tt \leadsto {100 \: \: metres}^{2}}$

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Now,

Breadth of the rectangle :-

${\tt \leadsto \dfrac{100}{25}}$

${\tt \leadsto \cancel \dfrac{100}{25} = \boxed{\tt 4 \: \: metres}}$

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Perimeter of the rectangle :-

${\tt \leadsto 2 \: (25 + 4)}$

${\tt \leadsto 2 \: (29) = 2 \times 29}$

${\tt \leadsto 58 \: \: metres}$

Hence solved !!

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$\dashrightarrow$ Some related formulas :-

${\longrightarrow \boxed{\sf Area_{(rectangle)} = Length \times Breadth}}$

${\longrightarrow \boxed{\sf Length_{(rectangle)} = \dfrac{Perimetre}{2} - Breadth}}$

${\longrightarrow \boxed{\sf Breadth_{(rectangle)} = \dfrac{Perimetre}{2} - Length}}$

${\longrightarrow \boxed{\sf Length_{(rectangle)} = \dfrac{Area}{Breadth}}}$