d. $180
step-by-step explanation:
if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,
![a=9\times 12=108\text {ft^2}](/tex.php?f=a=9\times 12=108\text {ft^2})
so the area of the floor is 108 square feet, converting that into square yards we get,
![108 \times 0.1111= 12 \text{yd^2}](/tex.php?f=108 \times 0.1111= 12 \text{yd^2})
the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,
![\$15 \times 12=\$180](/tex.php?f=\$15 \times 12=\$180)
hence, the cost of carpet is $180.
assuming the dimensions of the room be,
15 ft by 12 ft
so, the area of the floor of that room is,
![a = 12 \times 15=180\text {ft}^2](/tex.php?f=a = 12 \times 15=180\text {ft}^2)
we can convert 180 square feet into square yards, we know that,
1 sq ft = 0.111 sq yard
so, 180 square feet is,
![180 \times 0.111=20 \text {yd}^2](/tex.php?f=180 \times 0.111=20 \text {yd}^2)
so the area of floor is 20 square yards.
now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,
![\$15 \times 20= \$300](/tex.php?f=\$15 \times 20= \$300)
so, it will cost $300.