Answer:
24.91 in
Step-by-step explanation:
The question is pretty much just asking you to find the diagonal of the rectangle. To do this, you can use the Pythagorean Theorem, which is A²+B²=C². A and B stand for the height and width, and C stands for the diagonal, or hypotenuse.
You know that the height is 15.5 and the width is 19.5. Put those numbers into the Pythagorean Theorem formula and you get 240.25 + 380.25 = C².
Next, combine the two numbers on the left to get 620.5. In order to get the C by itself and solve the equation, you need to find the square root of C². To keep the equation equal though, you need to also find the square root of 620.5.
After finding the square root of both and rounding to the nearest hundredth as the problem says, you will be left with 24.91 = C, which is your final answer as C equal the diagonal of the rectangle.
I hope this helps! ☺
