Question

10 how would you express the area of the rectangle using the distributive property? 3 x 5 a x (3 + 5) b 3 (x + 5) c 3x + 5 d 5 (x + 3)

Explanation:

Step1: Recall the formula for the area of a rectangle

The area of a rectangle is \(A = \text{length}\times\text{width}\). Here, the width of the large rectangle is \(3\), and the length is \((x + 5)\) (since the total length is the sum of \(x\) and \(5\)).

Step2: Apply the formula

Using the formula \(A=\text{length}\times\text{width}\), we substitute the values. So, \(A=3\times(x + 5)\) which can be written as \(3(x + 5)\) using the distributive property \(a(b + c)=ab+ac\) (in this case, \(a = 3\), \(b=x\), \(c = 5\)).

Answer:

B. \(3(x + 5)\)