Question

In the figure, side AB is given by the expression 5x+5x+3, and side BC is 3x+92x−4. The simplified expression for the area of rectangle ABCD is ________ and the restriction on x is_____

Answer 1

We are asked to solve for the simplified expression of rectangle ABCD and the restriction on x. The solution is shown below:
L = 3X + 92X -4 = 95X -4
W =5X + 5X +3 =10X +3

The formula is Area = L*W
Area = (95x-4) * (10x +3)
Area = 950x² + 285x - 40x -12
Area = 950x² + 245x -12
x should be greater than zero