Question

Length of a rectangle is 2 less than 3 times its breadth. If the perimeter of the rectangle is 1028 m find the
length and breadth of the rectangle.​

Answer 1

Answer:

length=129m

breadth=385m

Step-by-step explanation:

breadth =x m

length = 3x-2 m

perimeter=2( x+3x-2)

1028=8x-4

1032=8x

x=129 m

length= x m =129m

breadth=3x-2 m = 385m

Answer 2

Let the length of the rectangle = l

and breadth = b

given that l = 3b -2

perimeter = 1028m

perimeter of rectangle = 2(length + breadth)

1028 = 2(3b -2 + b)

1028/2 = 4b - 2

514 = 4b - 2

514 + 2 = 4b

4b = 516

b = 516/4

b = 129m

l = 3b-2

= 3× 129 -2

l = 385m

length = 385m and breadth = 129m