Question

the area of a rectangle can be found by multiplying the width, 8 cm, by the length, x - 6 cm. find two equivalent expressions that can represent the area of this rectangle. select 2 choice(s) - 40x 8 + x - 6 8x + 2 8x - 6 8x - 48 8(x - 6)

Explanation:

Step1: Use the area formula for a rectangle

The area \(A\) of a rectangle is \(A = \text{width}\times\text{length}\). Given width \(w = 8\) cm and length \(l=(x - 6)\) cm, the area \(A=8(x - 6)\) (by substitution).

Step2: Expand the expression

Using the distributive property \(a(b - c)=ab-ac\), where \(a = 8\), \(b=x\), and \(c = 6\). Then \(8(x - 6)=8\times x-8\times6=8x-48\).

Answer:

\(8(x - 6)\), \(8x - 48\)