Question

Each side ofa square field measures 21 m. AdJacent to this field. there is a rectangular feld having its sides in the ratio 4 : 3. If tbe perimeters of both the fields are cqual, find the dimensions of the rectangular feld.​

Answer 1

Answer:

Length = 24m and Breadth = 18m

Step-by-step explanation:

Side of square = 21m

Perimeter of square = 4 × 21m = 84m

According to question,

Perimeter of rectangle = Perimeter of square

⇒ Perimeter of rectangle = 84 m

Let the length of the rectangle will 4x and breadth be 3x

Perimeter of rectangle = 84 m

⇒ 2 (l + b) = 84m

⇒ 2 (4x + 3x) = 84m

⇒ 2 (7x) = 84m

⇒ 14x = 84 m

⇒ x = 6m

So length = 4x = 4 × 6m = 24m

And breadth = 3x = 3 × 6m = 18 m

So the dimensions are 24m × 18m.

Here is your answer

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