Question

A rectangle has an area of 45x2 − 42x − 48 and a width of 5x − 8. What is the length of the rectangle? To find the length of the rectangle, use 45x2 − 42x − 48 as the

Answer 1

Answer:

The length of the rectangle is given as:

(9x + 6)

Step-by-step explanation:

The area of a rectangle is given as:

Length × Width

Area of the rectangle = 45x² − 42x − 48

Width = 5x - 8

We solve for the length of the rectangle by factorising the area of the rectangle

45x² − 42x − 48

45x² - 72x + 30x - 48

(45x² - 72x )+ (30x - 48)

9x(5x - 8) + 6(5x - 8)

(5x - 8)(9x + 6)

Therefore:

The length of the rectangle is given as:

(9x + 6)

Answer 2

Answer:

To find the length of the rectangle, use 45x2 − 42x − 48 as the  

✔ dividend

and 5x − 8 as the  

✔ divisor  

Step-by-step explanation:

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