Question

A square lawn is surrounded by a path 2m wide. If the area of path is 240*240 find the area of lawn

Answer 1

FIRST POSSIBLE ANSWER(QUESTION NOT CLEAR THAT'S WHY)

TAKING AREA AS 57600m²

Area of the path = area of the Big Square formed by the the path and the square lawn - area of the square lawn
Taking x = a( for the lawn)
a(for big square) = x+4
Area of the path= (x+4)² - x² = 240x240
=x² + 16 + 8x - x² = 57600
=8x = 57584
x=7198

Now,

Area of the lawn = x²
= 7198² = 51811204m²

SECOND POSSIBLE ANSWER(QUESTION NOT CLEAR THAT'S WHY)

TAKING AREA AS 240m² ONLY.

Area of the path = area of the Big Square formed by the the path and the square lawn - area of the square lawn
Taking x = a( for the lawn)
a(for big square) = x+4
Area of the path= (x+4)² - x² = 240
=x² + 16 + 8x - x² = 240
=8x = 224
x=28

Now,

Area of the lawn = x²
= 28² = 784m²

MARK IT AS BRAINLIEST!!