Question 1029298
<pre>
Areas of similar figures vary as the squares of the sides, so

{{{matrix(1,4,Area,of,smaller,figure)/matrix(1,4,Area,of,larger,figure)}}}{{{""=""}}}{{{matrix(1,6,Square,of,side,of,smaller,figure)/matrix(1,6,Square,of,side,of,larger,figure)}}}


{{{56/87}}}{{{""=""}}}{{{12^2/x^2}}}

{{{56/87}}}{{{""=""}}}{{{144/x^2}}}

Cross-multiply:

{{{56x^2}}}{{{""=""}}}{{{144*87}}}

Divide both sides by 56:

{{{x^2}}}{{{""=""}}}{{{144*87/56}}}

{{{x^2}}}{{{""=""}}}{{{223.71452857}}}

{{{x}}}{{{""=""}}}{{{sqrt(223.71452857)}}}

{{{x}}}{{{""=""}}}{{{14.95708146}}}

Since the other figures are rounded to the
nearest whole number, we probably should
round the corresponding side of the larger
to 15 inches.

Edwin</pre>