Question

the length of a rectangle is 16 more than its breadth. if the perimeter of the rectangle is 96 cm. find the length and breadth of the rectangle. also, verify your solution. ​

Answer 1

Answer:

Length =56 m

Breadth= 40 m

Step-by-step explanation:

16 + b + b=96cm

16 + 2b = 96cm

2b = 80cm

b = 40cm

l = b + 16cm

l = 56cm

Answer 2

Answer:

breadth = 16

length = 32

Step-by-step explanation:

let the breadth be x

let the length be x+16

perimeter of rectangle=96cm

2×(l+b) = 96cm

( we took length as x+16 and breadth as x)

2(x+x+16)=96cm

2x+2x+32=96cm

4x+96-32 (transposing 32 to RHS)

4x =64cm

x = 64÷4=16(transposing 4 to RHS)

breadth=x=16cm

length=x+16= here x = 16 cm , 16 +16 =32cm

verification

2(l+b)=96cm

2(32+16) = 96cm

2(48)=96cm

96cm = 96cm

therefore verified

hope it will help you!