Question

the area of a square field is 5625m√ . A rectangular field whose length is twice its breadth an has its perimeter equal to the perimeter of the square field. Find the dimensions of the rectangle​

Answer 1

$\Large{\underline{\underline{\bf{Answer:-}}}}$

❥ Breadth of rectangle ↠ x ↠ 50m

❥ Length of rectangle ↠ 2x ↠ 100m

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

The area of a square field is 5625m² . A rectangular field whose length is twice its breadth an has its perimeter equal to the perimeter of the square field

$\Large{\underline{\underline{\bf{To Find :-}}}}$

Dimensions of rectangle

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

Area of square ↠ 5625 m²

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❥ side × side = 5625

❥ a² ↠ 5625

❥ a ↠ √5625

❥ a ↠ 75m

Perimeter of square

❥ 4 × side

❥ 4 × 75

❥ 300m ---(i)

Now,

Let the breadth be x then length be 2x of rectangle

As per given condition

Perimeter of rectangle = Perimeter of square

❥ 2(l + b) ↠ 4 × side

❥ 2(2x + x) ↠ 300 (Using i)

❥ 2 × 3x ↠ 300

❥ 6x ↠ 300

❥ x ↠ 300/6

❥ x ↠ 50 m

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Hence,

❥ Breadth of rectangle ↠ x ↠ 50m

❥ Length of rectangle ↠ 2x ↠ 100m

Answer 2

Answer:

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