Answer: d) 12 ft
Step-by-step explanation:
Let x be the width of the room , the the length of the room will be 2x.
We consider the shape of room is rectangle.
We know that the area of rectangle is given by :-
, where l is length and w is width.
Given : Area of the room is 288 square feet

Since, width cannot be negative, so the width of the room = 12 feet.
Answer:
x = 10√3
Step-by-step explanation:
Because of the right angles, we can use Pythagoras
30² - x² = y² (a) Largest triangle
y² - 20² = h² (b) Medium triangle
substitute y² from (a) into (b)
30² - x² - 20² = h²
500 - x² = h² (d)
x² - h² = (30 - 20)² (c) smallest triangle
substitute h² from (d) into (c)
x² - (500 - x²) = 100
2x² = 600
x² = 300
x = 10√3