Answer :
Answer:
17 inches
Step-by-step explanation:
Length of the rectangular frame = 15 inches
Width of the rectangular frame = 8 inches
Let the length of the diagonal of the frame = l inches
Then, Square of the diagonal is the sum of the squares of length and width of the frame.
[tex]\[l^{2}=8^{2}+15^{2}\][/tex]
[tex]\[=> l^{2}=64+225\][/tex]
[tex]\[=> l^{2}=289\][/tex]
[tex]\[=> l=17\][/tex]
Hence the length of the diagonal of the frame is 17 inches.
The length of the diagonal of the frame will be 17 inches.
Based on the information given, it should be noted that the diagonal will be the longest side. Therefore, we'll use the Pythagoras theorem to solve the question.
This will be:
d² = 15² + 8²
d² = 225 + 64
d² = 289
d = ✓289
d = 17
Therefore, the correct option is 17 inches.
Learn more about diagonals on:
https://brainly.com/question/18276788