Question

find the lenght of a side of a square playground whose area is equal to the area of a rectangular field of a dimensions 72 m and 338 m

Answer 1

area of rectangle = 72 × 338 = 24,336
area of rectangle = area of square
24,336 = area of square
side× side = 24,336
side=156m
thanku

Answer 2

Length of Side of  Square playground = 156 m  whose area is equal to the area of a rectangular field of a dimensions 72 m and 338 m

Step-by-step explanation:

Let say the length of a side of a square playground  = X  m

Area of Play ground = X * X  m²

Area of Play ground = X²  m²

area is equal to the area of a rectangular field of a dimensions 72 m and 338 m

Area of rectangular field = 72 * 338  m²

X² = 72 * 338

=> X² = 36 *2 * 2 * 169

=> X² = 6² * 2² * 13²

=> X² = (6 * 2 * 13)²

=> X² = (156)²

=> X = 156

Length of Side of  Square playground = 156 m

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