Question

the length of a rectangle is 2cm more than twice its breadth . if the perimeter of the rectangle is 28cm find its length and breadth

Answer 1

Let the breadth be x cm
=>then length=2x+2cm.
=>Perimeter of rectangle = 2 ( l + b )
28=2 (2x+2+x)
28=2 (2+3x)
28=4+6x
28-4=6x
24/6=x
4=x.

=>So breadth is 4 cm and length is 2×4+2=10cm.

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Answer 2

Given : the length of a rectangle is 2cm more than twice its breadth . perimeter of the rectangle is 28cm

To Find :  length and breadth

Solution:

length of a rectangle is 2cm more than twice its breadth

Let say Breadth = B cm

Length = 2B + 2   cm

Perimeter of rectangle = 2 ( Length + Breadth)

=> Perimeter = 2  (2B + 2 + B)

=> Perimeter = 2  (3B + 2)

Perimeter = 6B + 4  cm

perimeter of the rectangle is 28 cm

=> 6B + 4 = 28

=> 6B = 24

=> B = 4

Length = 2B + 2 = 2 * 4 + 2  = 10

Breadth = 4 cm

Length = 10 cm

Length = 10 cm  and Breadth = 4 cm

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