Final answer:
To find the dimensions of the rectangle storage room, set up an equation using the given information. Solve the equation to find the width and length of the room.
Step-by-step explanation:
To find the dimensions of the rectangle storage room, we can set up an equation using the given information. Let's say the width of the room is x feet. Then, the length of the room would be x + 10 feet, since it is 10 feet longer than the width. The area of a rectangle is found by multiplying its length and width. So, we can write the equation:
x * (x + 10) = 74
Next, we can solve the equation to find the width and length of the room:
x^2 + 10x - 74 = 0
Using the quadratic formula, the solutions are approximately x = 6 and x = -12.
Since the width cannot be negative, we take the positive solution.
Therefore, the width of the room is approximately 6 feet.
And the length of the room is x + 10, which is approximately 16 feet.