Asquare building with an area of 225 m2 has a garden surrounding it that has an equal width on all sides. the area of the garden is 1/3 of the area of the building. what is the width of the garden?

The width of the garden is 1.16 m

Step-by-step explanation:

step 1

Find the area of the garden

To find out the area of the garden multiply by 1/3 the area of the building

step 2

Find the length side of the square building

The area of a square is

where

b is the length side of the square

we have

so

step 3

Find the width of the garden

Let

x ----> the width of the garden

we know that

The area of the building plus the area of the garden is equal to

solve for x

Solve the quadratic equation by graphing

using a graphing tool

The  solution is x=1.16 m

see the attached figure

therefore

The width of the garden is 1.16 m

Find the exact value

The formula to solve a quadratic equation of the form

is equal to

in this problem we have

so

substitute in the formula

 ----> exact value

it will be a cylinder. with a diameter of 8 and 4 single pieces high

step-by-step explanation:

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