Question

The length of a diagonal of a square is 7 inches. Find the perimeter of the square.
A. 25 inches
B. 12 inches
C. 19.6 inches
D. 28 inches

Answer 1

7 is the hypotenuse in the following isosceles right triangle:

So, a^2 + b^2 = c^2 -> 2a^2 = 7^2 -> a = 7 / [sqrt(2)]

P = 4a = 4 times 7 / [sqrt(2)] = (14)[sqrt(2)]

Answer 2

So, 14 x sqrt of 2?

Answer 3

That triangle is part of:

Yes, 14 times sqrt(2)

Answer 4

19

Answer 5

Yes! (rounded) It's actually 19.798989873223330683223642138936

Answer 6

:D

Answer 7

You're getting good at these!