Question

length and breadth of a rectangle are in ratio 3:4 , if perimeter is 280m then find area​

Answer 1

Answer:

are of rectangle = l × b

Step-by-step explanation:

280 = 3 × 4

280 = 12

280 / 12 =

23.3 = 2330

Answer 2

➤ Given :-

Perimeter of rectangle :- 280m

Ratio of breadth and length :- 3:4

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➤ To Find :-

Area of the rectangle

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➤ Formula required :-

${\tt \large \dashrightarrow \orange{\boxed{\tt \gray{length \times breadth}}}}$

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★ How to do :-

Here, we are given with the perimeter of the rectangle and the ratio of it's sides i.e, the length and the breadth. We should find the area of the rectangle. So, first we should find the measurements of the legth and breadth. While finding the length and breadth the other concepts used are variables and the transportation of the numbers from LHS to RHS. After finding the length and the breadth, we can find the area of the rectangle by using the given formula. So, let's solve!!

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➤ Solution :-

${\tt \leadsto 280 = 2 \: (3:4)}$

${\tt \leadsto 280 = 2 \: (3x + 4x)}$

${\tt \leadsto 280 = 2 \: (7x)}$

${\tt \leadsto \dfrac{280}{2} = (7x)}$

${\tt \leadsto \cancel \dfrac{280}{2} = 140}$

${\tt \leadsto x = \dfrac{140}{7}}$

${\tt \leadsto \cancel \dfrac{140}{7} :- \: x = 20}$

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Length of the rectangle :-

${\tt \leadsto 4x = 4 \times 20}$

${\tt \leadsto length = 80 \: metres}$

Breadth of the rectangle :-

${\tt \leadsto 3x = 3 \times 20}$

${\tt \leadsto breadth = 60 \: metres}$

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Now,

Area of the rectangle :-

${\tt \leadsto 80 \times 60}$

${\tt \leadsto {4800 \: metres}^{2}}$

$\Huge\therefore$ The area of the rectangle is 4800 metres².