The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²
We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²
This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x
The area,
88 = (20 - 2x)(14 - 2x)
Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²
Divide the equation by 4,
22 = 70 - 17x + x²
Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.
Thus, the thickenss is equal to 58.2 in
Answer: I believe this is the answer.
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7 and -6
or
-7 and 6
78! is the answer to this question! trust! -6
The answer is:
a: 1 = 2(x^2<span> + 2</span>x<span>)
b:</span>1 = 2x^2 + 4<span>x
d:</span>3 = 2(x + 1)^2
you can tell these are your answer when you solve it.
Hope this helps!
