Question

The perimeter of a rectangle is 180 cm. if its
breadth is 55cm, find its length also find
the area.​

Answer 1

Answer:

P = 2(a+b)

180 = 2(a+55)

180 = 2a+110

180-110 = 2a

70 = 2a

a = 70 ÷ 2

a = 35 cm

length = 35 cm

area = L × B

area = 35 × 55

area = 1925 cm2

Answer 2

☆ Solution ☆

Given :-

• The perimeter of a rectangle is 180 cm.
• The breadth of a rectangle is 55 cm.

To Find :-

• The breadth of the rectangle.
• The area of the rectangle.

Step-by-Step-Explaination :-

Let the Length be l

As we know that :-

Perimeter of rectangle = 2 ( l + b )

Where,

• Perimeter of rectangle = 180 cm

• Length of rectangle = l cm

• Breadth of rectangle = 55 cm

Putting the respective value,

180 = 2 ( l + 55 )

180/2 = l + 55

90 = l + 55

l = 90 - 55

l = 35

Thus,

Length of rectangle = 35 cm

Now,

As we know that :-

Area of rectangle = l × b

Where,

• Length of rectangle = 35 cm

• Breadth of rectangle = 55 cm

Putting the respective value,

Area of rectangle = 35 × 55

Area of rectangle = 1,925

Thus,

Area of rectangle = 1,925 cm²

Hence Solved !