Hi there!

First we split up the square root into two parts.

Now we calculate the value of the square roots which have an integer as a solution

Multiplying the integers gives us our next step.

And finally we add up the roots.
Answer:
30.25 & 33.25
Step-by-step explanation:
x² + 11x + (5.5)² = 3+ (5.5)²
x² + 11x + 30.25 = 33.25
Area = length x width
Area = 3x + 5 Cm x 8 cm
Multiply each term by each term.
Area = 24x + 40 square cm
To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34
To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04