Question

Perimeter of a rectangular field 50 m long and 30 m
wide is equal to the perimeter of a square field. Find
the area of the square field.​

Answer 1

Answer:

160 m

Explanation:

Area of a square field= 2 x length + 2 x breadth

= length = 50 m

=breadth =30 m

perimeter of the rectangular field = 2 x length + 2 x breadth

= 2 x 50 + 2 x 30

= 100+60

= 160

Hope the answer is helpful to you

Answer 2

Answer:

Area of square field is 1600 m².

Explanation:

Given :-

• Perimeter of a rectangular field 50 m long and 30 m wide is equal to the perimeter of a square field.

To find :-

• Area of the square field.

Solution :-

• Length of rectangular field = 50 m
• Width of rectangular field = 30 m

Perimeter of the rectangular field,

= 2(Length+ Width)

= [ 2(50+30)] m

= 2× 80 m

= 160 m

Given that,

Perimeter of rectangular field = Perimeter of square field

Let the side of the square field be x m.

According to the question,

4x = 160

→ x = 160/4

→ x = 40

Then,

The each side of the square field is 40 m.

Formula used :

${\boxed{\sf{Area\:of\: square=side^2}}}$

Area of square field,

= 40 × 40 m²

= 1600 m²

Therefore, area of square field is 1600 m².