Question

5. The length of a rectangle exceeds twice its
breadth by 2 cm. If the perimeter of the
rectangle is 28 cm, find its length and breadth.​

Answer 1

Answer:

let breadth of the rectangle be x

therefore length=2x

perimeter of rectangle = length × breadth

28 = 2x × x

2x^2 = 28

x ^ 2 = 14

x =√14

breadth = x = √14 cm

length. = 2x = 2√14 cm

Answer 2

Answer: length=10 and breadth=4

Step-by-step explanation:

Let length and breadth of rectangle be l and b respectively.

Given:

=>l = 2b+2...(1)

Also:

=>2(l+b)= 28

=>l+b= 14...(2)

Substituting value of l from (1) in (2), we get

=>2b+2+b= 14

=>3b=12

=>b=4

Putting value of b in (1), we get

=> l=2(4)+2

=> l = 10