Question

The length and the breadth are in the ratio 3 : 2. If its perimeter is 30 cm, find its breadth.
i. 6 cm
ii. 7 cm
iii. 8 cm
iv. 9 cm

Answer 1

Let length be 3x and breadth be 2x.

Perimeter=2(L+b)

30=2(3x+2x)

15=5x

X=3

The length = 3x = 9cm

The breadth = 2x = 6cm.

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Answer 2

Answer:

i.6 cm

Step-by-step explanation:

ratios of length and breadth respectively = 3:2

Let x be the common ratio

Thus, length and breadth are 3x,2x respectively

Perimeter of rectangle = 2(l+b) = 30cm

2(3x+2x) = 30 (Substituting)

2(5x) = 30

10x = 30

x = 30/10 = 3cm

Breadth =2x =2*3cm = 6cm

Breadth = 6cm