Question

select the equation used when finding the area of the complex shape. answer choices: a. (9 x 5) - (7 x 13) b. (13 x 7) + (9 x 18) c. (13 x 16) + (9 x 18) d. (5 x 7) + (9 x 13)

Explanation:

Step1: Analyze the complex shape

The complex shape can be divided into two rectangles. One rectangle has dimensions \(5\times7\) (width \(5\) and height \(7\)) and the other has dimensions \(9\times13\) (width \(9\) and height \(13\)).

Step2: Use the area formula for rectangles

The area of a rectangle is \(A = \text{length}\times\text{width}\). For the first rectangle \(A_1=5\times7\), for the second rectangle \(A_2 = 9\times13\). The total area of the complex shape is \(A=A_1 + A_2=(5\times7)+(9\times13)\)

Answer:

D. \((5\times7)+(9\times13)\)