Respuesta :
Let's assume
width =w
length=l
we are given
The width of a rectangular garden is 6 meter less than the length of the length of the garden
so, we have
[tex] w=l-6 [/tex]
we know that
Area = length*width
[tex] A=l*w [/tex]
we are given
the area of the garden is 78 square meters
so, we can set A=78
[tex] 78=l*w [/tex]
now, we can plug for w
[tex] 78=l*(l-6) [/tex]
[tex] l^2-6l-78=0 [/tex]
now, we can solve for l
we get
[tex] l=12.3 [/tex]
now, we can find w
[tex] w=12.3-6 [/tex]
[tex] w=6.3 [/tex]
so, dimensions are
length is 12.3m
width is 6.3m................Answer
