Question

Length of a rectangle is 3 metres less than twice the breadth and its perimeter is 42 meters. Find the length and breadth

Answer 1

let breadth be X

let length be 2x-3

now, perimeter =42

and we know

perimeter =2 *(length +breadth)

42 =2*(2x-3+X)

42=2*(3x-3)

42=6x-6

42+6=6x

48 =6x

48/6=X

8=X

so length=2*8-3=13

breadth =8

Answer 2

$\bf\underline{\underline{\pink{SOLUTION:-}}}$

Question

• Length of a rectangle is 3 metres less than twice the breadth and its perimeter is 42 meters. Find the length and breadth?

Answer

• Length = 13m
• Breadth = 8m

Given

• Length of rectangle is 3m less than twice the breadth
• perimeter = 42m

To Calculate

• Length and breadth __?

Step by Step Explanation

Let the Breadth of rectangle = x

Then

Length of rectangle be 2x-3

Perimeter of rectangle = 2(l+b)

☞ 42 = 2(2x-3+x )

☞ 42 = 2(3x-3)

☞ 42= 6x-6

☞ 42+6=6x

☞ 48=6x

☞ x= 48/6

☞ x=8

Length = 2x-3 = 2×(8)-3 = 16-3 = 13

Breadth = 8

$\bf\underline{\underline{\pink{HENCE:-}}}$

• Length = 13m
• Breadth = 8m

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⠀⠀⠀⠀⠀⠀⠀⠀$\bf\underline{\underline{\blue{Additional\: Information:-}}}$

• Area of rectangle = l×b

Where

L= Length

B= Breadth

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