A small garden measures 14 ft by 12 ft A uniform border arou

A small garden measures 14 ft by 12 ft. A uniform border around the garden increases the total area to 255 ft². What is the width of the border?

Original area of the garden = 80 square feet

Let the width of the border be x

New area = (8+2x)(10+2x) = 80+143

80 + 36x + 4x^{2 ₌} 80 +143

4x² + 36x - 143 = 0

x = [-36 + - sqrt ( 36² - 4*4*-143)] / 8 FORMULA : X= [-B² + - sqrt ( B² - 4AC )] / 2A

x = [ -36 + - sqrt (3584) ] /8

x = [ -36 + - 59.87 ] /8

Positive value :

x = 2.98 ft ( width of the border )