Question 805533
Height and base suggests a triangle.  If h is height and b is base, then the description means, h=b-1.


You were next, given area {{{45}}} {{{cm^2}}}.
If this should be a triangle, then we use area is {{{(1/2)b*h}}}.
{{{(1/2)b(b-1)=45}}}
This is assuming the author intended, "triangle".
{{{b(b-1)=(2/1)45}}}
{{{b^2-b=90}}}
{{{b^2-b-90=0}}} which is factorable.
{{{(b+9)(b-10)=0}}}  SOLVABLE.


The meaningful answer is {{{highlight(b=10)}}}
This then means height is {{{h=b-1=10-1=highlight(h=9)}}}.