Question

Find the perimeter of the rectangle with the vertices a(1,7),b(4,7),c(4,-4),d(1,4).

Answer 1

To find the perimeter of the rectangle with the given vertices, we need to add up the lengths of all four sides.

The distance between points a(1,7) and b(4,7) is 3 units.
The distance between points b(4,7) and c(4,-4) is 11 units.
The distance between points c(4,-4) and d(1,-4) is 5 units.
The distance between points d(1,-4) and a(1,7) is 11 units.

Adding all these distances together, we get:

Perimeter = 3 + 11 + 5 + 11
Perimeter = 30 units

Therefore, the perimeter of the rectangle with the given vertices is 30 units.