Question

The perimeter of a rectangle is 56 m and the difference between its length and breadth is 12 m.Find its
length, breadth and area.​

Answer 1

Answer:

length =20,breadth=8

Step-by-step explanation:

2(l+b)=56

l+b=28

given that l-b=12

by solving these two equations we get l=20,b=8

Answer 2

Answer:

The area is 160 m². The length is 20 m and breadth is 8 m.

Step-by-step explanation:

Solution:

Length and breadth differ by = 12 m

Perimeter = 56 m

Let the -

• Breadth be b
• Length be (b + 12)

★ Perimeter =

⇒ 2(Length + Breadth)

⇒ 2(b + 12 + b) = 56

⇒ 2b + 12 = 28

⇒ 2b = 16

⇒ b = 16/2

⇒ b = 8

Breadth = 8

★ Length =

⇒ 8 + 12

⇒ 20

Length = 20

★ Area =

⇒ Length × Breadth

⇒ 20 × 8

⇒ 160

Therefore, the area is 160 m². The length is 20 m and breadth is 8 m.