Question

A playground is shaped like a rectangle with a width 5 times it's length (t). What is the simplified expression for the distance between opposite corners of the playground?

a- tsq root 26
b- 5t
c- 26t squared
d- 6t

my answer is d 5t

5t+t =x
x=6t

Answer 1

I went back and checked my figures and I think it should be a t sq root 26

Answer 2

d^2 = t^2 + (5t)^2
= 26t^2
d = t√26 is correct

Answer 3

Let t = length
Let 5t = width
The line that connects the opposite corners of rectangle is the diagonal, and its length can be defined as
d = sqrt(l^2 + w^2)
Thus,
d = sqrt(t^2 + 25t^2)
d = sqrt(26t^2)
d = t * sqrt(26)

Actually you can also use pythagorean theorem to find d, and you should get the same answer.
hope this helps~ `u`