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In Mathematics / Middle School | 2014-10-15

Jimmy is installing a gravel path along the diagonal of a rectangular garden. The garden measures 24 feet wide by 32 feet long. If the path is 2 feet wide, and gravel costs $3.50 per square foot, how much will it cost to install the gravel path?

A. $80
B. $149
C. $280
D. $392

Show work if you can, please.

Asked by safaloveskpop

Answer (2)

The answer is C, First you must find the length of the diagonal gravel path and you can use Pythagorean Theorem to do this. 24^2+32^2=c^2 and solve for c which will get you 40 feet. Now, solve for the area of the path by multiplying 40*2 (2 feet wide) which will get you an area of 80 square feet. Multiply 80 by 3.5 and then the answer is $280. Hope this helped you :)

Answered by Alex19 | 2024-06-25

Jimmy will spend a total of $280 to install the gravel path along the diagonal of the garden. This is calculated by first finding the diagonal length of the garden, then determining the area of the path, and finally calculating the total cost based on the price per square foot of gravel. The chosen option is C, which is $280.
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Answered by Alex19 | 2025-01-07