Question

A square flower bed is surrounded by a path 10 cm wide around it. if the area of the path is 2000 cm 2, find the area of the square flower-bed.

Answer 1

AREA OF THE PATH=10*10=100
AREA OF SQUARE FLOWER BED=(2000-100)cm square
= 1900cm square

Answer 2

Answer: 1600 cm²

Step by step explanation:

Let the side of square = x^2

Side of bigger square = (x+20)^2

Equation formed:

(x+20)² - x² = 2000

=> x² + 400 + 40x - x² = 2000

=> 40x = 1600

=> x = 40 cm

Area = 40²

= 1600 cm²