A contractor is preparing to apply sealant to a new rectangular patio that measures 14 yar… — Armed Services Vocational Aptitude Battery (ASVAB)

A contractor is preparing to apply sealant to a new rectangular patio that measures $14$ yards in length and $5$ yards in width. If the sealant costs $3$ dollars per square yard, what is the total cost, in dollars, to seal the entire patio?

Answer: 210 dollars

Answer

210

To find the total cost, you must first determine the area of the patio by multiplying the length (

14

yards) by the width (

5

yards), which equals

70

square yards. Then, multiply this area by the cost per square yard (

3

dollars) to get the total cost of

210

dollars.

Step-by-Step Solution

Calculate the area of the rectangular patio.

Area =

14 \times 5 = 70

square yards

The cost of the sealant is based on the surface area of the patio.

Calculate the total cost to seal the patio.

Total cost =

70 \times 3 = 210

dollars

Multiplying the total square yards by the price per square yard gives the final cost.

Key Concept

Calculating rectangular area and applying a unit rate.

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