Math, asked by princess4189, 11 months ago

find the length of the square play ground, whose area is equal to the area of the rectangular field of dimensions 72 m*338 m​

Answers

Answered by Sauron
8

Answer:

The side of the square playground is 156 m

Step-by-step explanation:

Solution :

Dimensions of rectangle = 72 m × 338 m

Area of Square = Area of Rectangle

Area of Rectangle -

⇒ Length × Breadth

⇒ 72 × 338

⇒ 24336 m²

Side of Square -

⇒ Area of Square = Side × Side

⇒ 24336 = S²

⇒ S = \sf{\sqrt{24336}}

⇒ S = 156 m

Side of the square playground = 156 m

Therefore, the side of the square playground is 156 m

Answered by ItzArchimedes
14

GIVEN:

  • Area of square = Area of rectangle
  • Dimensions of rectangle = 72m × 338m
  • That means,

Length = 338m

Breadth = 72m

→ Side × Side = Length × Breadth

→ S² = l×b

→ S = √l × b

Taking RHS

♦ √l × b

Substituting the values of Length & breadth of given rectangle

♦ √24336

♦ 156

Hence, side of square playground = 156 m

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