Question

Attempt any one subquestion from the following.
i) The length of rectangle is double its breadth. If the perimeter of a rectangle
is 90 cm then. Find the length and breadth.

​

Answer 1

Answer:

Their length and breadth are:

• Length = 30 cm
• Breadth = 15 cm

Step-by-step explanation:

Given that:

• The length of rectangle is double its breadth.
• The perimeter of a rectangle is 90 cm.

To Find:

• The length and breadth.

Let us assume:

• Breadth of a rectangle = x cm
• Length of a rectangle = 2x cm

Formula used:

• Perimeter of a rectangle = 2(Length + Breadth)

Finding their length and breadth:

→ Perimeter = 2(Length + Breadth)

• Substituting the values.

→ 90 = 2(2x + x)

→ 2x + x = 90/2

→ 3x = 45

→ x = 45/3

→ x = 15

Their length and breadth:

• Length = 2x = (2 × 15) = 30 cm
• Breadth = x = 15 cm

Answer 2

> Length is 30cm

> breadth is 15cm

⊹ Correct Question ⊹

• The length of rectangle is double its breadth. If the perimeter of a rectangle is 90 cm then. Find the length and breadth.

⊹ Given ⊹

• length of rectangle is double its breadth
• perimeter of a rectangle is 90 cm

⊹ Assumption ⊹

• Let's assume the breadth of rectangle is y

⊹ Approach ⊹

• Using perimeter of rectangle, we will find the length and breadth of rectangle

⊹ Formula ⊹

• Perimeter of rectangle is 2 ( L + B )

⊹ Solution ⊹

it is given that,

Length of rectangle is double its breadth

Therefore,

Length = 2 y

We know that,

perimeter of rectangle is 2 (L +B)

so,

=> 90 = 2(2y + y)

=> 90 = 4y + 2y

=> 90 = 6y

=> y = 90/6 = 15

Hence, breadth of a rectangle is 15cm

We know that,

Length = 2y = 2(15) = 30cm

Hence, length of rectangle is 30cm

⊹ more ⊹

> Area of rectangle is L x B

> Area of square is Side x side

> Perimeter of square is 4 x side