Answer:
The width of the garden is 1.16 m
Step-by-step explanation:
step 1
<em>Find the area of the garden</em>
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