Answer:
The dimensions of rectangle are
the base is [tex]b=10\ m[/tex]
the height is [tex]h=6\ m[/tex]
Step-by-step explanation:
The question in English is
The difference between the base and the height of a rectangle is 4m. Find the dimensions of this rectangle knowing that the area is 60 m squared.
Let
b-----> the base of rectangle
h----> the height of rectangle
we know that
The area of rectangle is
[tex]A=bh[/tex]
[tex]A=60\ m^{2}[/tex]
so
[tex]60=bh[/tex] -----> equation A
[tex]b-h=4[/tex]
[tex]b=h+4[/tex] -----> equation B
substitute equation B in equation A
[tex]60=(h+4)h[/tex]
[tex]h^{2}+4h-60=0[/tex]
using a graphing tool
solve the quadratic equation
The solution is [tex]h=6\ m[/tex]
see the attached figure
Find the value of b
[tex]b=h+4[/tex] -----> [tex]b=6+4=10\ m[/tex]
