Question

Kevin plans to put concrete on a rectangular portion of his driveway. The portion is 10 feet long and 3 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Kevin needs is $72.59. Which of the following is closest to the width of the portion of the driveway on which Kevin plans to put concrete?

Answer 1

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Answer 2

Answer: Width of the portion of the driveway on which Kevin plans to put concrete is 8 feet.

Step-by-step explanation:

Since we have given that

Length of rectangular portion = 10 feet

Height of rectangular portion = 3 inches

Price of concrete = $ 98 per cubic yards

Total cost of concrete = Rs. 72.59

Volume of concrete is given by

$\frac{\text{Total Cost}}{\text{Price per cubic yard}}\\\\=\frac{72.59}{98}\\\\=0.74\times 3\times 3\times 3\\\\=19.99\ ft^3$

Now, we will put in:

$volume=Length\times Breadth\times height\\\\19.99=10\times breadth\times \frac{3}{12}\\\\\frac{19.99\times 12}{10\times 3}=Breadth\\\\Breadth=7.99\ feet\\\\Breadth=8\ feet$

Hence, width of the portion of the driveway on which Kevin plans to put concrete is 8 feet.