Question 1066467

The dimensions of a rectangle are in a 4:5 ratio. If the shorter side length is 32 cm, what is the length of the longer side in centimetres?
<pre>Since it's a 4:5 ratio, then shorter side = {{{matrix(1,3, 4/(4 + 5), or, 4/9)}}}, which represents 32 cm
With L being the longer side, we get the following PROPORTION: {{{(4/9)/(5/9) = 32/L}}}
{{{(4/9) * L}}}{{{"="}}}{{{(5/9) * 32}}} ------- Cross-multiplying
{{{4L/9 = 5(32)/9}}}
9(4)L = 9(5)(32) ------- Cross-multiplying, again
L, or longer side = {{{highlight_green(matrix(1,7, (9(5)(32))/9(4), "=", (cross(9)(5)8(cross(32)))/cross(9(4)), "=", 5(8), "=", highlight(matrix(1,2, 40, cm))))}}}