Question

A rectangular television’s length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television? Let w represent the width of the television. Select the correct values to write an equation to represent the situation. 1 of 4. Select Choice = 2 of 4. Select Choice (2w+3 of 4. Select Choice ) + 4 of 4. Select Choice w Part B Solve the equation. What is the width of the television?

Answer 1

23 inches

Explanation:

rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

In this case, we know that the perimeter is 144 inches, so we can set up the equation:

2(2w + 3) + 2w = 144.

Now we can solve the equation to find the value of "w", which represents the width of the television.

Simplifying the equation, we get:

4w + 6 + 2w = 144.

Combining like terms, we have:

6w + 6 = 144.

Subtracting 6 from both sides, we get:

6w = 138.

Finally, dividing both sides by 6, we find:

w = 23.

Therefore, the width of the television is 23 inches.