Question

tell whether or not the given situation below illustrates a quadratic equation.Justify your answer by representing the situation with a quadratic equation in standard form..

"The length of a rectangular garden is 8 meters longer than it's width, and the area is 105 square meters."​

Answer 1

Answer:

this is the required answer

Answer 2

Given: "The length of a rectangular garden is 8 meters longer than it's width, and the area is 105 square meters."​

Solution:

Let the breath of the rectangular garden$\[ = x\,m\]$

Length of the rectangular garden$\[ = \left( {x + 8} \right)m\]$

Know that,

$\[\begin{array}{l}l \times b = 105\\ \Rightarrow x\left( {x + 8} \right) = 105\\ \Rightarrow {x^2} + 8x = 105\\ \Rightarrow {x^2} + 8x - 105 = 0\end{array}\]$