Question

The area of a square field is 5182 metere square . find the area of a rectangular field whose breadth is equal to the perimeter of the square field and whose length is twice of its breadth ​

Answer 1

• The area of the rectangle is 165795.85m²

Step-by-step explanation:

Given:

• The area of a square field is 5182 m square.
• The breadth of the rectangle is equal to the perimeter of the square.
• The length of the rectangle is twice of breadth.

To find:

The area of the rectangle

Now,

• The formula to find the area of a square is

⇒ (side)² units sq.

⇒ (side)² = 5182

⇒ side = 71.98 m (Approx.)

[Taking square root in both RHs and LHS]

So,

• The formula to find the perimeter of the square is

= 4 * (side) units

= 4 * 71.98

= 287.92 m

Thus,

The breadth of the rectangle = perimeter of the square (given)

• The value of the length of the rectangle = 287.92 m
• The length = 2(breadth) = 2*287.92 = 575.84 m

Now,

• The area of the rectangle is = (length * breadth) unit sq.

Area of the rectangle = 575.84 * 287.92

Area of the rectangle = 165795.85 m sq.

Answer 2

the area of rectangle is 4608 m2