Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²
± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12
Hi!
This question is about math.
<u><em>Least Common Factor 4 or 8: 8</em></u>
<u><em>Factors of 4 : 1, 2, 4 (prime factorization) (2*2)</em></u>
<u><em>Factors of 8: 1, 2, 4, 8 (prime factorization) (2*2*2)</em></u>
<u><em>Least Common Factor of a,b is the smallest positive number that divisible by both a and b.</em></u>
<em>Multiply each factor the greatest number of times it occurs in either 4 or 8.</em>
<em>Then multiply by the numbers.</em>
<em>Multiply each numerator by the same amount needed to multiply its corresponding denominator to turn it into the Least Common Factor of 8.</em>
<em>For 1/4 multiply the denominator and numerator by the 2.</em>
<em>Since the denominator are equal, combine the fractions.</em>
<em>Add the numbers 2+5=7</em>
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-Charlie