Question

The Length and Breadth of a Rectangle are in ratio 3:4 . The perimeter of Rectangle is 70 , The dimensions are

Answer 1

Given :

The Length and Breadth of a Rectangle are in ratio 3:4 . The perimeter of Rectangle is 70

To Find :

Length and breadth of rectangle

Solution :

Let, the multiple of ratio be x

Perimeter of rectangle = 70

⇒ 2( l + b ) = 70

⇒ 2( 3x + 4x ) = 70

⇒ 3x + 4x = 70/2

⇒ 7x = 35

⇒ x = 35/7

⇒ x = 5

_________________________

Length of rectangle = 3x

⇒ Length of rectangle = 3 × 5

⇒ Length of rectangle = 15

____________________

Breadth of rectangle = 4x

⇒ Breadth of rectangle = 4 × 5

⇒ Breadth of rectangle = 20

Answer 2

$\large\bf\underline {To \: find:-}$

• We need to find the dimensions of rectangle.

$\large\bf\underline{Given:-}$

• Ratio of Length and breadth = 3:4
• perimeter of rectangle = 70

$\huge\bf\underline{Solution:-}$

Let length and breadth of rectangle be 3x and 4x.

we know that,

$\red{\bf\:perimeter\:of\: rectangle= l\times{b}}$

where,

• l = length
• b = breadth

➻ 2( 3x + 4x ) = 70

➻ 7x = 70/2

➻ 7x = 35

➻ x = 35/7

➻ x = 5

Hence,

● Length of rectangle 3x = 3× 5 = 15

● Breadth of rectangle 4x = 4 × 5 = 20

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⠀⠀༒Some formulas :-

⪼ Area of rectangle = l × b

⪼ Perimeter of rectangle = 2(l + b)

⪼ Length of rectangle = Area/Breadth

⪼ Breadth of rectangle = Area/length

⪼ Diagonal of rectangle = √l² + b²

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