The area of a rectangle is represented by \(5x^2 + 19x + 12\). What is the length?

5 x 2 + 19 x + 12 = 5 x 2 + 15 x + 4 x + 12 = 5 x ( x + 3 ) + 4 ( x + 3 ) = ( x + 3 ) ( 5 x + 4 ) A n s w er : x + 3 × 5 x + 4

Answered by Anonymous | 2024-06-10

The area 5 x 2 + 19 x + 12 can be factored to find the dimensions of the rectangle, giving us the factors ( 5 x + 4 ) ( x + 3 ) . Thus, the length of the rectangle can be represented as either 5 x + 4 or x + 3 . This shows that the length depends on how you assign the factors of the area.
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Answered by Anonymous | 2024-12-23