Question

the perimeter of rectangle is 9 times its breadth if its lengthis 3 cmis more thantwiceits breadthfind the dimensionsof the rectangle
​

Answer 1

Answer:

length=7 cm, breadth = 2 cm

Step-by-step explanation:

Let breadth be b

Given,

Perimeter (P) = 9b

length (l) = 3+2b

breadth (b) = b

We know that P = 2(l+b)

Substitute values on equation

2(3+2b+b) = 9b

2(3+3b) = 9b

6+6b = 9b

9b-6b = 6

6 = 3b

b = 6/3 = 2 cm

Therefore,

b = 2 cm//

l = 3+2b = 3+2(2) = 3+4 = 7cm//

P = 9b = 9(2) = 18 cm//

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Answer 2

Let breadth of rectangle =b
Length =2b−7

According to the question,
2(2b−7−2+b+3)=66
2(3b−6)=66
3b−6=33
3b=39
b=13

Therefore,
l=19

Hence, the length and breadth of the original rectangle are 19 cm and 13 cm respectively.



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