Question

find the area of this irregular shape. a = ? ft² find the area of rectangle 1.

Explanation:

Step1: Calculate the area of the top rectangle

The formula for the area of a rectangle is \(A = length\times width\). For the top rectangle, length \(l = 8\) ft and width \(w=2\) ft. So, \(A_1=8\times2 = 16\) \(ft^{2}\).

Step2: Calculate the area of the middle rectangle

The width of the middle rectangle: \(4 + 2+2=8\) ft (sum of vertical segments), and length \(l = 2\) ft. Using the area formula \(A = length\times width\), \(A_2=8\times2=16\) \(ft^{2}\).

Step3: Calculate the area of the bottom rectangle

The length of the bottom rectangle: \(3 + 2+3=8\) ft (sum of horizontal segments), and width \(w = 2\) ft. Using the area formula \(A = length\times width\), \(A_3=8\times2 = 16\) \(ft^{2}\).

Step4: Calculate the total area

The total area \(A=A_1 + A_2+A_3\). Substitute \(A_1 = 16\), \(A_2=16\), and \(A_3 = 16\) into the formula: \(A=16 + 16+16=48\) \(ft^{2}\).

Answer:

\(48\)