4. (01.03) matt plans to put concrete on a rectangular portion of his driveway. the portion is 8 feet long and 4 inches high. the price of concrete is $98 per cubic yard. the total cost of the concrete matt needs is $58.07. which of the following is closest to the width of the portion of the driveway on which matt plans to put concrete? [1 foot = 12 inches; 1 yard = 3 feet] (1 point)

Let's do all work in feet.
The rectangle is 8 ft long.

We convert inches to feet.
It is 4 inches high. 4 in/(12 in/ft) = 1/3 ft

The price of concrete is $98/yd^3
He spends $58.07 in concrete, so he buys $58.07/($98/yd^3) = 0.59255 yd^3

We now know the number of cubic yards he needs, so now we convert to cubic feet.
1 yd^3 = (3 ft)^3 = 27 ft^3

0.59255 yd^3 * (27 ft^3)/(1 yd^3) = 16 ft^3

He needs 16 ft^3.

The rectangular portion of the driveway is a rectangular prism. It has a volume of 16 ft^3, a length of 8 ft, and a height of 1/3 ft.

volume = length * width * height.

16 ft^3 = 8 ft * w * 1/3 ft

16 ft^3 = 8/3 ft^2 * w

w = 3/8 * 16 ft

w = 6 ft

The width is 6 ft.