Question

the length of a rectangle is 2 cm more than its breadth if the perimeter of the rectangle is 24 cm find its area

Answer 1

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Answer 2

Given:

The length of a rectangle is 2 cm more than its breadth and the perimeter of the rectangle is 24 cm.

To find:

The area of a rectangle.

Solution:

The area of a rectangle is 35 square centimetres.

To answer this question, we will follow the following steps:

Let the breadth of a rectangle be 'b' cm.

So,

According to the question,

Length of the rectangle = (b + 2) cm

Now,

As given in the question, we have,

The perimeter of the rectangle = 24 cm

= 2(length + breadth)

So,

$2(b + 2 + b) = 24$

$2b + 2 = 12$

$2b = 10$

$b = 5 \: cm$

On putting the value of b in b + 2, we get

Length of the rectangle

$= b + 2 = 5 + 2 = 7cm$

So,

The area of a rectangle

$= length \times breadth$

$= 7 \times 5$

$= 35 {cm}^{2}$

Hence, the area of a given rectangle is 35 square centimetres.