Question

please answer this question with explanation​

Answer 1

Answer: (B) 4

Explanation:

Since all sides are equal we know
4q + 1 = s + t - 1 = 3r = 11 - q = r + s

From this we can infer

4q + 1  = 11 - q
⇒ 4q + q = 11 - 1
⇒ 5q = 10
⇒ q = 10/5 = 2

11 - q = 11 - 2 = 9

Now we know the length of each side of the pentagon is 9

3r = 9
⇒r = 9/3 = 3

r + s = 9
⇒ s = 9 - r = 9 - 3 = 6

s + t - 1 = 9
⇒ t = 9 + 1 - s = 9 + 1 - 6 = 4

Hence the value of 't' is 4

Hope it helped