Melanie’s bedroom floor has a width equal to 3x+ 6 and a length equal to 4x – 7. What equation represents the area of the floor?
L = 4x-7
w = 3x+6
A = L*w
A = (4x-7)(3x+6) = 12x^2+24x+-21x+-42
A = 12x^2+3x-42
The equation that represents the area of Melanie's bedroom floor can be found by multiplying the width by the length. So, the equation would be:
Area = Width × Length
However, since the width is given as 3x + 6 and the length is given as 4x - 7, we can substitute these values into the equation:
Area = (3x + 6) × (4x - 7)
Expanding the equation gives us:
Area = 3x × 4x + 3x × (-7) + 6 × 4x + 6 × (-7)
Simplifying further gives:
Area = 12x^2 - 21x + 24x - 42
Combining like terms:
Area = 12x^2 + 3x - 42
So, the equation that represents the area of Melanie's bedroom floor is Area = 12x^2 + 3x - 42.
To find the equation that represents the area of Melanie's bedroom floor, we need to multiply its width by its length. The width is given as 3x + 6, and the length is given as 4x - 7.
So, the equation for the area of the floor can be expressed as:
Area = (Width) × (Length)
= (3x + 6) × (4x - 7)
To simplify this equation, we can use the distributive property, which states that (a + b) × c is equal to ac + bc. Applying this property, we get:
Area = 3x × 4x + 3x × (-7) + 6 × 4x + 6 × (-7)
= 12x² - 21x + 24x - 42
Combining like terms, we get:
Area = 12x² + 3x - 42
Therefore, the equation that represents the area of Melanie's bedroom floor is 12x² + 3x - 42.