Question

The perimeter of a rectangle is 130cm. If the breadth of the rectangle is 30cm, find its length. Also find the area of the rectangle.
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Answer 1

Answer:

Length = 35cm, Area = 1050cm^2

Step-by-step explanation:

P = 2(l + b)

130 = 2l + 2*30

130 = 2l + 60

2l = 130 - 60

2l = 70

l = 70/2

l = 35

A = lb

A = 35*30

A = 1050

Answer 2

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.