Question

the length of a rectangle is 3 more than its width .if the perimeter of the rectangle is 30 cm then find the length and width of the rectangle
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Answer 1

Answer:

width= 6 cm length= 9 cm

Step-by-step explanation:

Let width =’x’cm

Length=x+3

Perimeter=30 cm

2(l+b)=30

l+b=15

x+3+x=15

2x=12

x=6

width =6 cm

length=x+3=6+3=9 cm

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Answer 2

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$Given \: , \: Perimeter \: = 30$

$Let's \: width \: (b/w) = \: x \: \\ Length (l) = \: x + 3$

$Perimeter \: of \: rectangle = \\ 2(l+b)$

$30 = 2 [(x + 3) + (x)]$

$30 = 2 (x + 3 + x)$

$30 = 2 (2x + 3 )$

$\frac{30}{2} = 2x + 3$

$15 = 2x + 3$

$2 x = 15 - 3$

$2x = 12$

$x = \frac{12}{2}$

$x = 6$

$Therefore \: , \: width = 6 cm$

$And \: length = x + 3 = 6 + 3 \\ \: \: \: \: \: = 9cm$