Step-by-step explanation:
.........................
We know that
step 1
find the original area of rectangle
Area of rectangle=L*W-----> 10*12----> 120 ft²
step 2
find the new area
if <span>increase the area by 50%
so
the new area=120*1.5----> 180 ft</span>²
step 3
find the new dimensions
(10+x) ft x (12+x) ft
new area=(10+x)*(12+x)
180=(10+x)*(12+x)----> 180=120+10x+12x+x²----> 180=x²+22x+120
x²+22x-60=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
x=2.454 ft
the answer
the equation is