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
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Answered by
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 =
⇒ S = 156 m
Side of the square playground = 156 m
Therefore, the side of the square playground is 156 m
Answered by
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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