Question

The length of a rectangle is four times its breadth. Find the length and the breadth
of the rectangle, if the perimeter of the rectangle is 40 cm.​

Answer 1

Step-by-step explanation:

Given:

• Length of rectangle = 4 × Breadth
• Perimeter = 40 cm

To find:

• Length and breadth = ?

Let

♦ Length be l

♦ Breadth be b

Solution:

Applying perimeter formula,

Perimeter = 2 (l + b)

⇒ 40 = 2 (4b + b)

⇒ 40 = 2 (5b)

⇒ 40 ÷ 2 = 5b

⇒ 20 = 5b

⇒ b = 20 ÷ 5

⇒ b = 4 cm

∴ Breadth = 4 cm

For finding the length of the rectangle,

Length = 4 × Breadth

➝ Length = 4 × 4

➝ Length = 16 cm

∴ Length = 16 cm

VERIFICATION:

Perimeter = 2 (l + b)

→ Perimeter = 2 (4 + 16)

→ 40 = 2 (20)

→ 40 = 40

★ HENCE VERIFIED ★

Answer 2

Answer:

Ans-4×160=6400 sq. cm

Step-by-step explanation:

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