A cube shaped suitcase has a length of 3x+2 units. What is an expression for its area of the base?
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2
Answer:
The Required Expression for the Base Area of the Cubical Suitcase is (3x + 2)²
OR
9x² + 12x + 4
Step-by-step explanation:
Given that the measure of the edge of the Cubical Suitcase is (3x + 2) units
So, Base Area of the Cubical Suitcase is;
>> (Edge)²
>> (3x + 2)²
Using (a + b)² = a² + 2ab + b²
>> (3x)² + 2 * 3x * 2 + 2²
>> 9x² + 12x + 4
Additional Solution for "x" (NOT REQUIRED)
>> 9x² + 12x + 4 = 0
Sum = 12
Product = 9x4 = 36
>> 9x² + 6x + 6x + 4 = 0
>> 3x (3x + 2) +2 (3x + 2) = 0
>> (3x + 2) (3x + 2) = 0
.°. 3x + 2 = 0
>> x = -2/3
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