The perimeter of Dawna's new flat screen television is 112 inches. The ratio of its length to width is 4:3. Write and solve an algebraic equation to determine the dimensions of the television.
let the length be 4x and the width be 3x , note 4x : 3x = 4 : 3
2(4x + 3x) = 112
carry on
so the answer is 2(4x + 3x) = 112 ?
It asked to write and solve the equation.
I gave you the equation, assuming you would be able to solve it.
After you solve it, you would have the "answer"
To solve this problem, we can set up an algebraic equation based on the information given:
Let's assume the length of the television is 4x since the ratio of length to width is 4:3.
Similarly, let's assume the width of the television is 3x.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (length + width)
So, we can set up the equation as follows:
2 * (4x + 3x) = 112
Let's simplify the equation:
2 * 7x = 112
14x = 112
To solve for x, divide both sides of the equation by 14:
x = 112 / 14
x = 8
Now that we have the value of x, we can find the length and width of the television:
Length = 4x = 4 * 8 = 32 inches
Width = 3x = 3 * 8 = 24 inches
Therefore, the dimensions of Dawna's new flat screen television are 32 inches by 24 inches.