Question

The length of a rectangle is 5cm more than the breadth. If the perimeter of the rectangle is 40cm, find the area of the rectangle.

Answer 1

hope this is correct and helps you

Answer 2

Answer:

The area of the rectangle is 93.75 cm² .

Step-by-step explanation:

Let,

The breadth of a rectangle = x

The length of a rectangle = x + 5

The perimeter of a rectangle = 40cm

So,

Perimeter = 2 ( length + breadth)

⇒ 2 ( x + x + 5) = 40

⇒ 2x + 2x + 10 = 40

⇒ 4x + 10 = 40

⇒ 4x = 40 - 10

⇒ 4x = 30

⇒ x = 30 / 4

⇒ x = 7.5

Therefore,

The breadth of a rectangle = 7.5 cm

The length of a rectangle = x + 5

⇒ 7.5 + 5

⇒ 12.5

.°. The length of a rectangle = 12.5 cm

Now,

Find the area of the rectangle

The area of the rectangle = (l × b)

⇒ (length × breadth)

⇒ 12.5 × 7.5

⇒ 93.75 cm²

Therefore,

The area of the rectangle is 93.75 cm² .