In the figure, side ab is given by the expression 5x+5x+3, and side bc is 3x+92x−4. the simplified expression for the area of rectangle abcd is and the restriction on x

Step-by-step explanation:

The area of a rectangle is given by:

Let:

So, the area is given by:

It wouldn't make sense if the result leads us to an area equal to 0 or to a negative area, therefore:

Solving for x using the quadratic formula:

Therefore, the area is given by:

where is the shape my dude?

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)