Question

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

Answer 1

Explanation:

let let the length be 4 x and the breadth with 3x

so the perimeter of rectangle is equal to 2(l+b)

70 = 2(4x+3x)

70/2 = 4x+3x

35 = 7x

35/7 = x

5 = x

By substituting

l = 4x = 4*5 = 20 cm

b = 3x = 3*5 = 15 cm

The length is 20 cm and breadth is 15 cm.

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Answer 2

Given :-

• Ratio of Length and breadth is = 3:4

• Perimeter of rectangle is = 70

To Find :-

• What are the dimensions of rectangle?

Solution :-

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

We know,

Perimeter of a rectangle

= 2 × ( Length × Breadth)

As per question :-

Given that,

Perimeter of rectangle is 70.

Therefore,

⟼ 2( 3x + 4x ) = 70

⟼ 7x = 70/2

⟼ 7x = 35

$⟼x = 5$

Hence,

Length of rectangle is = 3x = 3× 5 = 15 unit

Breadth of rectangle is = 4x = 4 × 5 = 20 unit

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Extra Information :-

•Area of rectangle = l × b

• Perimeter of rectangle = 2(l + b)

•Breadth of rectangle = Area/length

•Length of rectangle = Area/Breadth

• Diagonal of rectangle = √l² + b²

Where,

l = Length

b = Breadth