Question

the perimeter of a rectangle is 230cm if the length of the rectangle is 70cm find its breadth and area

Answer 1

Perimeter = 230 2( l+ b ) = 230 , 2(70 + b) = 230. 70 + b = 230/ 2 = 115. b = 115 - 70 = 45 area = 70 x 45 = 3150 square.cm

Answer 2

Given:

The perimeter of a rectangle is 230cm and the length of the rectangle is 70cm.

To find:

The breadth of the rectangle.

Solution:

The breadth of the rectangle is 45 cm.

The area of the rectangle is 3,150 cm².

As we know that in a rectangle having length 'l' units and breadth 'b' units, the perimeter is given by using the formula.

$= 2(l + b)$

Now, as given, we have,

The perimeter of the rectangle = 230 cm

The length of the rectangle = 70 cm

So,

$230 = 2(70 + b)$

On solving the above, we get

$230 = 140 + 2b$

$2b = 230 - 140$

$2b = 90$

$b = 45cm$

Now,

area of the rectangle

= l × b

= 70 × 45

= 3,150 cm²

Hence, the breadth and area of the rectangle is 45 cm and 3,150 cm² respectively.