Question

the length and breadth of rectangle are in ratio 2:1 if area is 50cm find its length and breadth​

Answer 1

Step by step explanation

• Let the ratio of length be 2x
• And, ratio of breadth be 1x = x

We know, area of rectangle = L × B

• 2x × x = 50
• 2x² = 50

• x² = 50 ÷ 2
• x² = 25

• x = √25
• x = 5

NOW,

Length of rectangle = 2x = 2 × 5 = 10

Breadth of rectangle = x = 5

Hence, length = 10cm

and breadth = 5cm

Answer 2

Answer:

The ratio of length to breadth of a rectangle is 2:1, If the perimeter of the rectangle is 50cm, then the length is 16.6cm and the breadth is 8.3cm

Step-by-step explanation:

• A rectangle is a polygon with four sides

• The perimeter of a rectangle is the total linear distance along the boundary, if the length is (l) and breadth is (b) the perimeter is given by the formula

        $P=2(l+b)$ equation 1

From the question, it is given that

let the length be (l) and breadth be (b)

the ratio of the length to breadth is $l/b=2/1$

⇒$l=2b$

the perimeter of the rectangle $P=50cm$

now put the values in equation1

⇒$50=2(b+2 b)=6b$

⇒

$\frac{50}{6} =b\\b=8.3cm$

therefore the length is $l=2*8.3=16.6cm$