Question

a regular pentagon has side lengths as shown the value of 't' is
( the image is given above pic click it, explanation too pls)

Answer 1

Answer:

B) t=4

Step-by-step explanation:

Regular pentagon has sides equal in length.

4q+1 = 11-q

So,q=2

Each side=11-q= 9

So,3r=9

R=3

R+s=9

So,s=9-3=6

s+t-1 = 9

t = 10-6 = 4

Answer 2

Given:

A regular pentagon

To find:

The value of t

Solution:

t is equal to 4. (Option B)

Since the pentagon is regular, all of its sides are of equal length.

We will equate the sides with the same variable to determine the values.

4q+1=11-q

4q+q=11-1

5q=10

q=10/5

q=2

Similarly, 4q+1=3r

4(2)+1=3r

9=3r

3=r

We will continue equating the sides with common variables to obtain the required value.

Also, 3r=r+s

3r-r=s

2r=s

2(3)=s

s=6

Now, s+t-1=3r

6+t-1=9

5+t=9

t=9-5

t=4

Therefore, t is equal to 4.