hannahat
hannahat hannahat
  • 11-08-2020
  • Mathematics
contestada

The perimeter of a square is numerically equals to its area. Find its side and area.

Respuesta :

jimrgrant1 jimrgrant1
  • 11-08-2020

Answer:

4 and 16 units²

Step-by-step explanation:

The perimeter of a square of side s = 4s and area = s² , equating gives

s² = 4s ( subtract 4s from both sides )

s² - 4s = 0 ( factor out s from each term on the left )

s(s - 4) = 0

Equate each factor to zero and solve for s

s = 0

s - 4 = 0 ⇒ s = 4

However, s > 0, thus s= 4

That is side = 4 units and area = 4² = 16 units²

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