Question

The length and breadth of a rectangular plot are in the ratio 8 : 3 , If the perimeter of the rectangle is 66m. find the length, breadth and the area of the rectangle.​

Answer 1

$\sf{\huge{\underline{\red{Given :-}}}}$

• The length and breadth of a rectangular plot are in the ratio 8 : 3.

• The perimeter of the rectangle is 66m.

$\sf{\huge{\underline{\blue{To\:Find :-}}}}$

• The length of the rectangle.

• The breadth of the rectangle.

• The area of the rectangle.

$\sf{\huge{\underline{\green{Solution :-}}}}$

Let the length be 8x

& the breadth be 3x

{ The length and breadth of a rectangular plot are in the ratio 8 : 3 }

We know that,

The perimeter of the rectangle = 2 ( l + b )

The perimeter of the rectangle is 66m.

2 ( l + b ) = 66

➝ 2 ( 8x + 3x ) = 66

➝ 16x + 6x = 66

➝ 22x = 66

➝ x = $\cancel{\dfrac{66}{22}}$

➝ x = 3

The length be 8x = 8 × 3 = 24 cm

& the breadth be 3x = 3 × 3 = 9 cm

We know , the area of rectangle is l × b

➝ 24 × 9

➝ 216 cm²

Hence, the area of rectangle is 216 cm².

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