Question

Find the coordinates of the rectangle and use them to compute the area. A. 16 units^2 B. 15 units^2 C. 8 units^2 D. 30 units^2

Answer 1

I don’t have the diagram or the vertex coordinates — can you paste them or upload the image?

Meanwhile, here are quick ways to get the rectangle coordinates and area once you have the points:

1. If you are given all four vertices:
- Verify they form a rectangle (adjacent sides perpendicular and opposite sides equal) or just compute side lengths with the distance formula.
- Area = (length of one side) × (length of adjacent side).

2. If you are given three vertices A(x1,y1), B(x2,y2), C(x3,y3) that are consecutive around the rectangle:
- The fourth vertex D = A + C − B, i.e. Dx = x1 + x3 − x2, Dy = y1 + y3 − y2.
- Then compute side lengths (distance formula) and area = product of adjacent side lengths.
- Or use the shoelace formula on the four vertices to get area directly.

3. If vertices are axis-aligned (sides parallel to axes) and you know opposite corners (x_min,y_min) and (x_max,y_max):
- Area = (x_max − x_min) × (y_max − y_min).

Example: if vertices are (1,2), (5,2), (5,6) then D = (1+5−5, 2+6−2) = (1,6). Side lengths = 4 and 4 so area = 16 (option A).

Send the coordinates or the picture and I’ll compute the exact area and pick the correct option.