Question 159750
Original dimensions

X=width
x+3=length

New dimensions
X+2=width
X+5=length

The area of a rectangle is W*L

the change in the dimensions increased the area of the original rectangle by 26

Orignal area +26=New Area

X(X+3)+26=(X+2)(X+5)
Use distributive and Foil method

x^2+3X+26=x^2+7X+10

Subtract x^2 from both sides

3X+26=7X+10

Subract 3X from both sides

26=4X+10

Subtract 10 from both sides

16=4X

Divide both sides by 4

4=X

The original dimensions of the rectangle were 4cm X 7cm

The area is 28cm^2

The new dimensions are 6cm X 9cm 

The area is =54cm^2

54cm^2-28cm^2=26cm^2