Question

Combine these radicals.A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?

Answer 1

x2 - 17x + 72

=(x - 9)(x - 8)

if x = 20 the length of the rectangle is 12 units and width 11 units.

Answer 2

Answer: The length and width of the rectangle could be (x-9) and (x-8).

Explanation:

Since we have given that

Area of rectangle =
`x^2-17x+72`

We need to find the length and width of the rectangle.

As we know the formula for "Area":

`Area=Length* breadth\\`

Now, we first split the middle term:

`x^2-17x+72\\\\=x^2-9x-8x+72\\\\=x(x-9)-8(x-9)\\\\=(x-9)(x-8)`

Hence, the length and width of the rectangle could be (x-9) and (x-8).