Question

Perimeter of a rectangular play ground is 32 meter and its lenght is 4 meter more than its breadth find the length and breadth of the rectangular play ground

Answer 1

Answer:

length= 10m, breadth= 6m

Step-by-step explanation:

perimeter of rectangle= boundary length of rectangle= l+b+l+b=2(l+b)=32 m....(1)

given:

l=b+4.....(2)

solving equations (1)&(2),

l=b+4

2(l+b)=32

2(b+4+b)=32

4b+8=32

b= (32-8)/4=6

hence b= 6 m

find l from l=b+4

l=6+4

l=10

hence l=10 m

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Answer 2

Answer: length will be 10 m

              breadth will be 6 m

Step-by-step explanation:

perimeter of rectangular ground = 32 m

let,

the breadth be x

also the length is 4 more than breadth

then,

perimeter of playground is 2L + 2B

breadth (x) =2x +2(x+4) = 32

2x +2x +8 = 32

4x + 8 = 32

4x = 32 - 8

4x = 24

x = 24/4

x = 6

now, breadth (x) =6 m

       length = 4 + x = 4 + 6 = 10 m