Question

~I NEED THIS ASAP, PLEASE HELP ~. Paul plans to put concrete on a rectangular portion of his driveway. The portion is 12 feet long and 6 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Paul needs is $108.89. Which of the following is closest to the width of the portion of the driveway on which Paul plans to put concrete?. . [1 foot = 12inches; 1 yard = 3 feet]

Answer 1

Answer: 5 feet

Step-by-step explanation:

Since, The volume of the rectangular portion of the driveway = Length of the driveway × Width of the driveway × Height of the driveway

Here, the length = 12 feet = 4 yard   ( 1 feet = 1/3 yard )

Height = 6 inches =  $\frac{ 6}{36}$ =  $\frac{1}{6}$

Let w be the width of the portion in yards.  

Hence,  The volume of the rectangular portion of the driveway $= 4 \times w \times \frac{1}{6}$

$= \frac{2w}{3}$

If the The price of concrete is $98 per cubic yard.

Thus, the total price of concrete = $98\times \frac{2w}{3}= \frac{196 w}{3}$

According to the question,

$\frac{196 w}{3} = 108.89$

⇒  $w = \frac{108.89\times 3}{196}$

⇒  $w = \frac{326.67}{196}\text{ yard} = \frac{326.67}{196}\times 3\text{ feet}=5.00005101\text{ feet}\approx 5\text{ feet}$

Answer 2

We are given with the cost of concrete equal to $98 per cubic yard. Paul needs is $108.89. Hence the cubic yard is equal to  $108.89/ $98 per cubic yard or 1.1111 cubic yards. 1.1111 cubic yards is equal to 30.0024 cubic feet. From the given, 12 feet long length and 0.5 feet height, we get the width equal to 30.0024 cubic feet/12 feet/0.5 feet or 5 feet. The width needed is 5 feet.