Read the following prompt and type your response in the space provided.
The perimeter of Dawna's new flat screen television is 70 inches. The ratio of its length to width is 4:3. Write and solve an algebraic equation to determine the dimensions of the television.
Question 6 options:
Let the length of the television be 4x and the width be 3x (as per the given ratio).
The perimeter of a rectangle is given by the formula: 2(length + width). Therefore, the equation becomes:
2(4x + 3x) = 70
Simplifying the equation:
14x = 70
Dividing both sides by 14:
x = 5
Therefore, the length of the television is 4x = 4(5) = 20 inches, and the width is 3x = 3(5) = 15 inches.
The dimensions of the television are 20 inches by 15 inches.