Question

Length of a rectangle if its perimeter 30 cm and breadth 6 cm​

Answer 1

Answer:

Let the breadth of the rectangle be x cm.

Length of the rectangle = 2x cm

Given: Perimeter = 30 cm

Therefore, 2(length + breadth) = 30

2(2x + x) = 30

2(3x) = 30

6x = 30

If x = 3, 6x

=

6

×

3

=

18

≠

30

If x= 4, 6x

=

6

×

4

=

24

≠

30

If x = 5, 6x

=

6

×

5

=

30

Therefore, if x = 5, LHS = RHS.

So, breadth = 5 cm

Therefore, length = 2

×

breadth = 2

×

5 = 10 cm

Hence, area of the rectangle = (length

×

breadth) = 10

×

5 = 50

c

m

2

Answer 2

Answer:

Length = 9 cm

Step-by-step explanation:

Given; Perimeter = 30cm , Breadth = 6cm

To Find, Length = ?

Perimeter = 2(Length + Breadth)

30 = 2(L + 6)

30 = 2L + 12

30 - 12 = 2L

18 = 2L

L = 9