Question

The perimeter of a rectangle is
200 cm. Its length is three
times its breadth. find its length and breadth.
​

Answer 1

Answer:-

Given:-

• The perimeter of a rectangle is 200 cm

• Its length is three times its breadth

To find:-

• The values of length and breadth

Solution:-

The perimeter of a rectangle is 200 cm

Let,

Length be 3x cm

breadth be x cm

Here,

Perimeter = 200

Length = 3x

Breadth = x

Then,

Perimeter = 2(l + b)

200 = 2( 3x + x)

200 = 6x + 2x

200 = 8x

x = 200/8

x = 25 cm  (Breadth)

Here, we know the value of breadth is "25 cm" then we have to find the value of Length.

∴Breadth = x = 25 cm

Length = 3x = 3 × 25 ⇒ 75 cm

Therefore, Breadth = 25 cm and Length = 75 cm