Question

The length of a rectangle storage room is 10 feet longer than its width. If the area of the room is 74 square feet, find the dimensions. Round to the nearest tenth of a foot.

A. Length: ____, Width: ____
B. Length: ____, Width: ____
C. Length: ____, Width: ____
D. Length: ____, Width: ____

Answer 1

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.