Question

the area of a square field is 5184 m square a rectangular field whose length is twice its breadth and has its parameter equal to the perimeter of the square field find the area of the rectangular field​

Answer 1

Answer:

Step-by-step explanation:

The area of the square field = 5184 sq m.

Each side of the square field = 5184^0.5 = 72 m.

Perimeter of the square field = 4*72 = 288 m.

Perimeter of the rectangular field = 288 m.

Length of the rectangular field is 2B, where B = breadth of the field.

Hence 2(2B+B) = 288, or

3B = 288/2 = 144, or

B = 144/3 = 48 m so length = 2*48 = 96 m.

Area of the rectangular field = 96 * 48 = 4608 sq m.

Answer 2

Given:-

• ↦ Area of square field = 5184 m².

To Find:-

• ↦ Area of rectangle.

Formula to be used:-

• ↦ Perimeter of square = 4a

• ↦ Perimeter of rectangle = 2 (l + b)

Solution:-

• ↦ Let the side of square field as a.

Then,

• ⇒ a² = 5184 m²
• ⇒ a = √5184 m
• ⇒ a = 2 × 2 × 2 × 9 = 72 m

Now,

• ↦ Perimeter of square = 4a
• ↦ Perimeter of square = 4(72)
• ↦ Perimeter of square = 288 m

Now,

Perimeter of rectangle = 2 (l + b)

• ⇒ 288 = 2 (l + b)

As length is twice of its breadth,

• ⇒ 288 = 2 × (2b + b)
• ⇒ 288 = 2 × 3b
• ⇒ 288/2 = 3b
• ⇒ 144 = 3b
• ⇒ 144/3 = b
• ⇒ b = 48

Here, breadth is 48 m

Now length,

• ↦ Length = 2 × 48 = 96 m

Now, Area of rectangle  ;

• ↦ Area of rectangle = l × b

• ↦ Area of rectangle = 96 × 48

• ↦ Area of rectangle = 4608 m².

✝ Hence, the Area of rectangle is 4608 m² ✝

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