Ksant024somerseidn
Answered

From everyday questions to specialized queries, IDNLearn.com has the answers. Ask any question and receive timely, accurate responses from our dedicated community of experts.

14. A square has a perimeter of 36 units. One vertex of the square is located at (3,5) on the coordinate grid, What could be the x- and y-coordinates of another vertex of the square?​

Sagot :

Facundo3141592idn

Answer:

For a square of side length L, the perimeter is:

P = 4*L

Then if the perimeter of our square is 36 units, we have:

36 units = 4*L

(36 units)/4 = L = 9 units.

Now we know that one vertex of the square is located at (3, 5)

Then another vertex of the square can be at:

A distance of 9 units of this point (such that these vertices are connected by one side of the square)

Some examples can be:

(3 + 9, 5) = (12, 5)

or

(3, 5 + 9) = (3, 14)

These are the simpler options, there are a lot of other possible points that can be another vertes (we can have a circle of radius 9 units centered in the point (3, 5), all these points can be another vertex of the square).

We also can have a vertex that is connected by the diagonal, this point can be:

(3 + 9, 5 + 9) = (12, 14)

or

(3 - 9, 5 - 9) = (-6, -4)

Again, there are a lot of other possible points that can be this vertex (A circle of radius √2*9 units centered in the point (3, 5)).

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.