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The breadth of a rectangle ABCD is 5/6th of its length. Perimeter of the rectangle ABCD is 1320 cm. What is the area of rectangle ABCD?

The breadth of a rectangle ABCD is 5/6th of its length. Perimeter of the rectangle ABCD is 1320 cm. What is the area of rectangle ABCD? Correct Answer 108000 cm<sup>2</sup>

Given:

The breadth of a rectangle ABCD = 5/6 of length.

Perimeter = 1320 cm

Concept:

The perimeter of rectangle = 2(Length + Breadth)

The area of rectangle = length × Breadth

Calculation:

Let length = 6x , then breadth = (5/6) × 6x = 5x

Now we know that the perimeter = 1320 cm

The perimeter of rectangle = 2( 6x + 5x) = 22x = 1320

⇒ x = 60

⇒ Now length = 6x = 6 × 60 = 360 and breadth = 5 × 60 = 300

⇒ The area of rectangle = length × Breadth

⇒ The area of rectangle = 360 × 300 = 108000 cm2

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