Question

The Perimeter of a rectangle is 130cm. If the breadth of the rectangle is 30cm. Find its length
and Area.​

Answer 1

Answer:

2(

$2(l + b) = perimeter \\ \\ 2(l + 30) = 130 \\ \\ l + 30 = 130 \div 2 \\ \\ l + 30 = 65 \\ \\ \\l = 65 - 30 = \\ \\ = 35 \\ l = 35$

Answer 2

Answer:

Given :

The perimeter of a rectangle is 130cm.

The breadth of the rectangle is 30cm.

To Find :

Length of rectangle = ?

Area of the rectangle = ?

Solution :

❍ First of all we will find the length of rectangle :

Let length of rectangle be 'l' cm.

Perimeter of rectangle = 130 cm

Breadth of rectangle = 30 cm

→ Perimeter of rectangle = 2(Length + Breadth)

→ 130 = 2(l + 30)

→ 130 = 2l + 60

→ 130 - 60 = 2l

→ 70 = 2l

→ l = 70 ÷ 2

→ l = 35 cm

Hence,the length of rectangle is 35 cm.

❍ Verification ❍

᠉ 130 = 2(l + 30)

᠉ 130 = 2(35 + 30)

᠉ 130 = 2(65)

᠉ 130 = 130

᠉ LHS = RHS

Hence Verified !

❍ Now, Let's find the area of rectangle :

➻ Area of rectangle = Length × Breadth

➻ Area of rectangle = 35 × 30

➻ Area of rectangle = 1,050 cm²

Hence,the area of rectangle is 1,050 cm².