Answer:
$1598.5
Step-by-step explanation:
Notice something?
The measurements are in feet whereas the cost is measured by yards so we first need to convert the measurement before we can start figuring this problem out!
1 yard = 3 feet
applying that ratio/conversion we get:
5 yards = 15 feet or 1(5) yard = 3(5) feet
10 yards = 30 feet or 1(10) yard = 3(10) feet
now the pricing is in SQUARE YARDS, that's the measurement for the area of yard times yard so let's find it!
area = length x width
area = 5 yd x 10 yd
area = 50 yd^2
the cost is $31.97 per square yard that means that for 1 yd^2 it costs $31.97
or,
[tex]\frac{31.97}{1 yd^2}[/tex]
since we have 50 yd^2 we can multiply that with that fraction above (the yd^2 will cancel giving us the $ as our only measurement which is what we want! Money!)
since the denominator is 1, multiplying by that fraction is the same as multiplying by its numerator ($31.97) so,
31.97 x 50 = $1598.5
yeesh that's expensive!