mang juan owns a rectangular lot. the perimeter of the lot is 90m and its area is 450m2
solve using sum and products, complete the equation below
given
SUM:
R1+R2= -(b)/a = -(90)/450 = -90/450 = -5
ANSWER
R1+R2= -5
PRODUCT:
R1•R2= c/a = to find the 'c' divide 90 to 2 90÷2 =45 then find 2 numbers that if you x it the answer will be 450 and if you plus it the answer will be 45
90÷2=45
30×15=450
30+15=45
then?
COMPLETE THE GIVEN EQUATION NON-SENCE ANSWER WILL BE REPORTED
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ANSWER
The answer is considering the practical context of dimensions, is that the dimensions of the rectangular lot are 3 meters and 15 meters.
EXPLANATION
Given that \( R_1 + R_2 = -5 \) and \( R_1 \cdot R_2 = 45 \), the quadratic equation can be expressed as:
\[ x^2 + 5x + 45 = 0 \]
This equation can be factored as \( (x + 3)(x + 15) = 0 \). Therefore, the two roots are \( x = -3 \) and \( x = -15 \).
However, in the context of the problem, the roots represent the dimensions of the rectangular lot. Since dimensions cannot be negative, we discard the negative root. Thus, the dimensions of the rectangular lot are 3 meters and 15 meters.