Question

Estimation  The sides of this square are neither horizontal nor vertical. Estimate the length of side AB. Then estimate the area of the square.
-6
-4
-2
2
4
6
-6
-4
-2
2
4
6
x
y
A
B
C
D



x y graph
.
.
.
Question content area right
Part 1
The length of side AB is about
  Estimation  The sides of this square are neither horizontal nor vertical. Estimate the length of side AB. Then estimate the area of the square.
-6
-4
-2
2
4
6
-6
-4
-2
2
4
6
x
y
A
B
C
D



x y graph
.
.
.
Question content area right
Part 1
The length of side AB is about
  
enter your response here units.
enter your response here units.

Answer 1

I can’t see the plotted points clearly from the text alone. Could you either upload the graph image or tell me the coordinates (or the grid intersections) for A and B? If you can’t, here’s how to estimate it yourself:

1. Read the coordinates of A and B from the grid (for example A = (x1,y1), B = (x2,y2)).
2. Compute the horizontal and vertical changes: Δx = x2 − x1, Δy = y2 − y1. Count grid squares to get these.
3. Length AB = sqrt((Δx)^2 + (Δy)^2).
4. Area of the square = (AB)^2.

Example: if A = (−4, −2) and B = (2, 4) then Δx = 6, Δy = 6, so AB = sqrt(6^2 + 6^2) = sqrt(72) ≈ 8.49 units and area ≈ 72 square units.

Send the coordinates or a clear image and I’ll compute the estimates for you.