The length of a parking lot is 7 yards more than the width. if the area of the parking lot is 144 square yards. Find the dimensions of the parking lot
Let
x ----> the length of a parking lot
y ----> the width of a parking lot
the area of a rectangle is equal to
A=x*y
A=144 yd2
so
144= x*y -----> equation 1
and
x=y+7 -----> equation 2
solve the system
substitute equation 2 in equation 1
144=(y+7)y
144=y^2+7y
y^2+7y-144=0
solve the quadratic equation by graphing
the solution is y=9
Find the value of x
x=9+7=16
therefore
the dimensions are
16 yd x 9 yd