What will it cost to carpet a rectangular floor measuring 15 feet by 30 feet if the carpet costs $ 31.97 per square​ yard?

Respuesta :

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!