Homework Help: Geometry

Posted by sam on Wednesday, September 2, 2009 at 10:22pm.

How do I figure out the area and perimeter of a square if all I know is the cross (top left corner to bottom right corner) measurement? I have a square with the cross measurement of 8.5 (or 4 X sq root of 2, i rounded to 8.5). The square looks like it is cut in half to look like 2 triangles and in the corner of one triangle it says 45 degrees.
Please help me, I am so confused, is there a formula to figure this problem out?

Geometry - MathMate, Wednesday, September 2, 2009 at 10:48pm
The diagonal (the slant of the triangle) of a square of side x is √2*x.
Can you figure the side using this relation?
Geometry - Reiny, Wednesday, September 2, 2009 at 10:51pm
I don't know what grade level you are in, but since you seem to know about square roots, I am somewhat surprised that you don't know the Pythagorean Theorem.

Since you are dealing with a square, let each side of the square be x

then x^2 + x^2 = (4√2)^2
2x^2 = 32
x^2 = 16
x = 4

Now that we know that we have a 4 x 4 square, we can easily find its area and perimeter.
Geometry - Reiny, Wednesday, September 2, 2009 at 10:57pm
BTW, how did you come up with 8.5 for 4√2 ?

Answer this Question

Related Questions

Physics 1112 Electric charge - As shown in the figure, a square has sides of 8.0...
Math - I need help with this problem. (Just imagine a small square with 5x-1 at ...
Calculus - You are given a 60 inch by 30 inch piece of cardboad and asked to ...
algebra - There are two similar triangles. The angles are: from top to bottom ...
Physics - At each corner of a square of side script i there are point charges of...
Physics - There are two particles of charge +Q located on the top left and ...
geometry - Lines M and T are parallel with a Transversal line P. [Labeling for ...
algebra - Area of a square find a polynominal A(X) that represents the area of ...
PARALLELOGRAM WRITING A PROOF - given: segment SV is parallel to segment TU and ...
Parallelogram Question Writing a Proof - given: segment SV is parallel to ...

For Further Reading

First Name:
School Subject:
Answer: