Question

length of a rectangle exceeds its breadth by 6cm .if the perimeter of the rectangle is 96cm. find its length and breadth in cm

Answer 1

let breadth be x
then length be 6+x
perimeter of rectangle=2(l+b)
96=2(6+x+x)
92=12+4x
80=4x
20=x
lenght =20
and breadth =26

Answer 2

Answer:

length of rectangle is 27 cm and breadth is 21 cm.

Step-by-step explanation:

Let x be the length and y be breadth of the triangle.

It has been given that length of a rectangle exceeds its breadth by 6cm. Thus, we have

x = y +6 ....(i)

Now, the perimeter of the triangle is given by

P = 2x + 2y

Substituting the value of x and the perimeter

96 = 2(y+6) + 2y

96 = 2y + 12 + 2y

4y = 96 - 12

4y = 84

y = 21

From equation (i)

x = 21 + 6

x = 27

Therefore, length of rectangle is 27 cm and breadth is 21 cm.