Question

The area of a square field is 7225 m2. A rectangular field, whose length is four times of its breadth

and perimeter equal to theperimeter of the square field. Find the area of the rectangular field.​

Answer 1

Answer:

Area of square field = 7225m²

Side of square = √(7225) = 85m

Perimeter of square = 4a = 4 × 85 = 340m

Let breadth of rectangular field be = x

The length of rectangular field = 4x

Perimeter of rectangular field = Perimeter of square field

2 { length + breath } = 340

2 { 4x + x } = 340

2 { 5x } = 340

2 × 5x = 340

10x = 340

x = 340/10

x = 34

length of rectangular field = 4x = 4 × 34 = 136m

Breath of rectangular field = x = 34

Area of rectangular field = Length × Breadth

= 136 × 34 = 4624

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Answer 2

firstly see the attached photo.

now, we have,

• length of rectangular field = 136 m
• breadth of rectangular field = 34 m

and we know that,

$\boxed{ \bold{area \: of \: rectangle = l\times b}}$

$\bold{: \implies 136 m \times 34m} \\ \\ \bold{: \implies 4624 \: {m}^{2} } \: \: \: \: \: \: \: \:$

hence, the area of the rectangular field is 4624 m²