Question

The length of a rectangular park is 15 metre longer than that of its breadth. If the perimeter of park is 114 metre find its length and breadth

Answer 1

Answer:

breadth=21m, length=36m

Step-by-step explanation:

let breadth be b

and length be l

ATQ

l=b+15

perimeter of rectangle =2(l+b)

=>114m= 2(b+15+b)

=>114m =(2b + 15)

=>114m = 4b + 30

114-30= 4b

84 = 4b

84/4=b

21m= b

breadth = 21m

length = 21+ 15

= 36m

Answer 2

• Let breadth of rectangular field be (M) m.

» The length of a rectangular park is 15 metre longer than that of its breadth.

• Breadth = (M + 15) m

• Perimeter = 114m

» We have to find it's length and breadth.

____________________________

Perimeter of rectangle = 2(l + b)

=> 114 = 2(M + M + 15)

=> 114 = 2M + 2M + 30

=> 4M = 84

=> M = 21

______________________________

Length of rectangular park = M = 21 m

and

Breadth of rectangular park = M + 15 = 21 + 15 = 36 m

_____________ $\bold{[ANSWER]}$

______________________________

✡ Perimeter = 2(l + b)

=> 114 = 2(21 + 36) {From above calculations}

=> 114 = 2(57)

=> 114 = 114

____________ [HENCE VERIFIED]