The length of a rectangle is 5cm more than the breadth. If the perimet

1.	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» 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 .

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»

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 .