Question

the length of a rectangle is 15 cm more than the breadth . it's perimeter is 150 cm . find out the length and breadth .

Answer 1

given,

Breadth of rectangle= X

Length = X+15

perimeter of rectangle= 2(length+ Breadth)

150=2(X+15+X)
75= X+15+X

75 =2x+15

75-15=2x

60=2x

X= 60/2=30

now, according to question,

length= 30+15= 45

and breadth= 30


hope it help you

Answer 2

Let the length of rectangle be x
and breadth be y

A.T.Q,
x = 15 + y ..... (i)
and
2 (x+y) = 150
or x+ y = 75 ..... (ii)

putting value of x in eq 2

15 + y + y = 75

2y = 75- 15
2y =60
y = 30 cm

putting value of y in eq 1

x = 15 + 30
x = 45 cm

therefore, length is 45cm
breadth is 30cm

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