Final answer:
To find the minimum number of pavers Wynter needs, calculate the area of the right triangle backyard using the distance formula and then divide by the area covered by one paver. The exact calculations for the area and the number of pavers were not performed in this answer.
This correct answer is none of the above.
Step-by-step explanation:
To determine the minimum number of concrete pavers Wynter needs for her backyard, we must first calculate the area of the backyard, which is in the shape of a right triangle.
The vertices of the triangle are R(2,4), E(7,9), and D(15,3). To calculate the area, we can use the formula for the area of a triangle (A = ½ * base * height), using two sides as the base and the height.
The base can be taken as the length between points R and D, and the height as the length from point E to line RD. Using the distance formula to calculate the length of the base: RD = √((15-2)² + (3-4)²) = √(169+1) = √170.
We can also calculate the height by finding the perpendicular distance from point E to line RD, which would require more complex calculations involving the equation of line RD and the perpendicular distance formula.
Once we have the area of the triangle, we divide it by 1.5 (the area covered by one paver) to find out how many pavers are needed. Since Wynter cannot buy a fraction of a paver, we round up to the nearest whole number to find the minimum number of pavers required.
This correct answer is none of the above.