Asmall garden measures 9 ft by 13 ft. a uniform border around the garden increases the total area to 192 ft square. what is the width of the border

The width of border is 1.5 feet

Given that small garden measures 9 ft by 13 ft

A uniform border around the garden increases the total area to 192 ft square

To find: width of border

Let the width of border be "x"

Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet

The total area of garden = 192 square feet

Let us solve the above equation by quadratic formula

Using the above formula,

For , we have a = 4 ; b = 44 ; c = -75

Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,

Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet