Area

Dejan

New member
Joined
Nov 5, 2021
Messages
1
How do I find the area of this shape by breaking it down into multiple shapes? Please help I need it to complete an assessment task
 

Attachments

  • Screen Shot 2021-11-01 at 12.15.19 pm.png
    Screen Shot 2021-11-01 at 12.15.19 pm.png
    1.2 MB · Views: 13
There is not enough data in the picture. Knowing the lengths of the sides of a quadrangle is not enough to find its area since quadrangles aren't rigid shapes, unlike triangles.

One approach is using pixel geometry. E.g., compute lengths in pixels to figure out the scale, then compute the area in pixel squares and scale accordingly.

Just curious: is this task a class homework?
 
How do I find the area of this shape by breaking it down into multiple shapes?
Hi Dejan. Here's another approach. Connecting a pair of opposite corners with a straight line will divide the shape into two triangles. There's an area formula for triangles that works when all three side-lengths are known. If you're unable to measure the diagonal's length at scale, then you could enlarge the image on paper and measure both the added line and the longest given line. A proportion may be used to scale-up the drawn line's measure to meters. The area will be an estimate -- the better you measure, the better the estimate.

:)
 
How do I find the area of this shape by breaking it down into multiple shapes? Please help I need it to complete an assessment task
Can you assume that the right -bottom corner is 90 deg?
 
In the image the slope of the right edge is about 4% from the vertical, i.e. the angle is about 87.7 degrees.
Yes, I saw that and I was trying to define a possible constraint so that solution is possible.
 
Yes, I saw that and I was trying to define a possible constraint so that solution is possible.
I measured dimensions in pixels and found that the scales vary by about 4%, which tells me that there is some perspective distortion in the picture. I wonder what the required precision is for this task.
 
I measured dimensions in pixels and found that the scales vary by about 4%, which tells me that there is some perspective distortion in the picture. I wonder what the required precision is for this task.
Oops... I've revisited my data, and the differences in scales are at most 1.7%. When I average (geometrically) the scales I get at most 1.1% difference with the average. I'd guess that the distortion in my computation of the area should not be more than 2%.
 
How do I find the area of this shape by breaking it down into multiple shapes? Please help I need it to complete an assessment task
Please show the complete problem as given to you, together with any of the context that might be relevant.

We need to see whether, for example, you are expected to measure part of the picture, or to use only the data explicitly given; and whether anything else that is said provides additional data in some subtle way.

Also, what is being assessed? What methods are you expected to know?
 
Top