Question

zora cut out two identical rectangles and a parallelogram to create the letter z. what is the area of the letter zora made? a = □ in²

Explanation:

Step1: Calculate the area of one rectangle

The formula for the area of a rectangle is \(A = l\times w\). Here, \(l = 8\) in and \(w = 2\) in. So, \(A_{rectangle}=8\times2 = 16\) \(in^{2}\).

Step2: Calculate the area of two rectangles

Since there are two identical rectangles, \(A_{two - rectangles}=2\times16=32\) \(in^{2}\).

Step3: Calculate the area of the parallelogram

The formula for the area of a parallelogram is \(A = b\times h\). Here, \(b = 6\) in and \(h = 3\) in. So, \(A_{parallelogram}=6\times3 = 18\) \(in^{2}\).

Step4: Calculate the total area of the letter Z

The total area \(A=A_{two - rectangles}+A_{parallelogram}\). Substitute the values: \(A = 32+18\).

Answer:

\(50\)