Question

find the area of the figure. (sides meet at right angles.)

Explanation:

Step1: Calculate the area of the top rectangle

The area of a rectangle is \(A = length\times width\). For the top rectangle, length \(l = 6\) ft and width \(w=4\) ft. So, \(A_1=6\times4 = 24\) square - feet.

Step2: Calculate the area of the middle rectangle

The length of the middle rectangle is \(l = 4\) ft and the width \(w=(12-(4 + 4))=4\) ft. Using the area formula \(A = l\times w\), we get \(A_2=4\times4=16\) square - feet.

Step3: Calculate the area of the bottom rectangle

The length of the bottom rectangle is \(l = 6\) ft and the width \(w = 4\) ft. Using the area formula \(A=l\times w\), we get \(A_3=6\times4 = 24\) square - feet.

Step4: Sum up the areas of all rectangles

The total area \(A=A_1 + A_2+A_3\). Substitute \(A_1 = 24\), \(A_2 = 16\) and \(A_3 = 24\) into the formula. \(A=24 + 16+24\).

Answer:

\(64\) square - feet