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
  
enter your response here units.

Answer 1

I can't see the graph you meant to attach. To find the length of AB I need the coordinates of A and B (or a clear image). Could you either upload the graph or type the coordinates of A and B?

How to get the answer once you have the coordinates:
- If A = (x1,y1) and B = (x2,y2), the length AB = sqrt[(x2 − x1)^2 + (y2 − y1)^2].
- Then the area of the square = (AB)^2.

If you want to estimate from the picture instead of exact coordinates, read off how many units AB runs horizontally (Δx) and vertically (Δy) between grid lines, then use the distance formula above. Example: if Δx = 4 and Δy = 2 then AB = sqrt(4^2+2^2) = sqrt(20) ≈ 4.47 units and area ≈ 20 square units.

Send the coordinates or the image and I’ll compute the numeric answers.