Question

1. The length of a rectangle is 3 cm more than twice the breadth. If its perimeter is 72 cm, find the length and breadth.

Answer 1

Answer:

length is 25 cm and breadth is 11 cm

Step-by-step explanation:

l=3+2b

2(l+b)=72

2(3+2b+b)=72

2(3+3b)=72

(3+3b)=36

3(b+1)=36

b+1=12

b=11

l= 3+2×b=3+2×11=25 cm

Answer 2

$\large{\underline{\bf{\purple{Given:-}}}}$

• length is 3cm more than twice it's breadth

• perimeter = 72cm

$\large{\underline{\bf{\purple{To\:Find:-}}}}$

• ✦ length and breadth.

$\huge{\underline{\bf{\red{Solution:-}}}}$

Let the breadth be x cm

then, breadth = 2x+3

we know that,

perimeter of rectangle = 2(length+ breadth)

⠀⠀⠀⠀⠀➝ 72 = 2[(2x + 3) + x]

⠀⠀⠀⠀⠀➝ 72 = 2[ 3x +3]

⠀⠀⠀⠀⠀➝ 72/2 = 3x +3

⠀⠀⠀⠀⠀➝ 36 = 3x +3

⠀⠀⠀⠀⠀➝ 36 = 3(x+1)

⠀⠀⠀⠀⠀➝ 36/3 = x+1

⠀⠀⠀⠀⠀➝ 12 = x+1

⠀⠀⠀⠀⠀➝ x = 11

So,

The breadth of rectangle = 11cm

and length of rectangle 2x +3 =2×11 +3

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀➝ 22 +3

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀➝ 25cm.

━━━━━━━━━━━━━━━━━━━━━━━━━