# If the length of a rectangle is 14cm more than its breadth and its perimeter is 180cm, then area of the rectangle is what?

## Answers

⛦ __Given__** ****:**

- Length of rectangle is 14cm more than breadth of the rectangle.
- Perimeter of rectangle = 180cm

⛦ __T____o____ ____find__** ****:**

- The area of the rectangle.

⛦ __S____o____l____u____t____i____o____n__** ****:**

Let the Breadth of the rectangle be x cm

Then the Length will be x + 14 cm

★Perimeter of rectangle = 2( length + breadth)

Thus,

**Putt****ing**** the**** ****value**** ****:**

⟼ 180 = 2( x + 14 + x)

⟼ 180 = 2(2x + 14)

⟼ 180 = 4x + 28

⟼ 180 - 28 = 4x

⟼ 152 = 4x

⟼ x = 152/4

⟼ x = 38

Therefore,

- The Breadth (x) of the rectangle is 38 cm
- And the Length (x + 14) of the rectangle is 38 + 14 = 52

----------------------------

Now , as we got the values of length and breadth of the rectangle . Let's start finding the Area of the rectangle.

★ Area of rectangle = length × breadth

A/Q

↬ Area of rectangle = 38 × 52

↬ Area of rectangle = 1976 cm².

Thus,

**The**** ****area**** ****of**** the**** ****recta****ngle**** ****is**** **__1____9____7____6____c____m____²____.__

### ☆ __Solution__ ☆

__Given__ :-

- The length of a rectangle is 14 cm more than its breadth and its perimeter is 180 cm.

__To Find__ :-

- The area of the rectangle ?

__Step-by-Step-Explaination__ :-

Let length be l and breadth be b.

__So__,

I= b+ 14

As we know that :-

Perimeter of rectangle = 2 ( l + b )

Putting the respective value,

=>180 = 2( b + 14 + b )

=>180 = 2(2b + 14)

=>180 = 4b + 28

=>4b = 180 - 28

=>4b = 152

=>b = 38

__So__,

Breadth = 38 cm

Length = b + 14

=> l = 38 + 14

=> l = 52

__Now__,

As we know that :-

Area of rectangle = l × b

Putting the respective value,

Area of rectangle = 52 × 38

Area of rectangle = 1976 cm²