The area of a rectangle is given by the formula:
[tex]A=b\times h[/tex]Where b is the length of the base and h is the height of the rectangle.
The area of a triangle is given by the formula:
[tex]A=\frac{b\times h}{2}[/tex]Where b is the length of the base of the triangle and h is its height.
The resulting shape on the right is a rectangle, whose base is 2 and its height is 4, then the area of this part of the shape is:
[tex]\begin{gathered} A=b\times h \\ A=2\times4=8 \end{gathered}[/tex]The area of the triangle resulting on the left side is:
[tex]\begin{gathered} A=\frac{b\times h}{2} \\ A=\frac{4\times4}{2}=\frac{16}{2}=8 \end{gathered}[/tex]Since the area of both shapes is 8, Clare is right.