Avacant lot is being converted into a community garden. the garden and and a walkway around its perimeter have an area of 460 square feet. find the width of the walkway if the garden measures 12 feet wide by 15 feet long.

The width of the walkway is 4 feet.

Step-by-step explanation:

The garden and a walkway around its perimeter have an area of 460 square feet.

The length of the garden = 15 feet

The width of the garden = 12 feet

Assuming that walkway is of uniform width, we can solve the following equation.

Expanding this we get;

We will solve this using quadratic equation formula:

Here a = 4 , b = 54 , c = -280

We get the roots as x = 4 and x =

Neglecting the negative value, we will take x = 4 feet.

Hence, the width of the walkway is 4 feet.

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