Math Algebra Conversion

Question

What is the expense of sodding a plot of ground 45 yards long and 95 feet wide with sods 15 inches by 14 inches? The sods when laid cost $15.00 per hundred. What is the expense?

Answer 1

Hey Akiri!

For this question, we'll need to make sure our units are consistent throughout. Since we are given two values in inches, I'm inclined to stick to inches in our calculations.

To convert the plot values, (45 yards)*(36 inches/yard) = 1620 inches, and (95 ft)*(12 inches/ft) = 1140 inches.

To find the area of the plot:

A = length*width

A = 1620*1140 = 1846800 in²

To find the area of a sod:

A = 15*14 = 210 in²

To find how many sods fit on the plot:

1846800/210 = 8800

Since the cost is $15 for 100 sods, and there are 8800 sods needed, the cost will be $15 * 88 = $1320. Costs a lot!