Question

Find the maximum area of a square field which is surrounded by a rope of 400 m.

A. 5000 $m^2$

B. 6250 $m^2$

C. 4000$m^2$

D. 10000 $m^2$

• A. A
• B. D
• C. C
• D. B

Answer 1

Answer:

B. D

Short Trick:

Area will be maximum when the field is square

Side of the square $= \frac{400}{4} = 100 m$

∴ Area of the field = (100)² = 10000 m²

Detailed Solution:

Area will be maximum when the field is square

The length will be the perimeter of the square field.

Let, side of the square = x m

According to the question,

⇒ Perimeter of square$=4\times{side}$

⇒ 4x = 400

⇒ x = 100

⇒ Side of the square = 100 m

⇒ Area of the field = (side)²

⇒(100)²  = 10000 m²

∴ Required answer is 10000 m²