Question

find the area of the figure. the figure is not drawn to scale. draw 12 ft 5 ft 12 ft 3 ft show your work here ft² check

Explanation:

Step1: Calculate the area of the larger rectangle

The formula for the area of a rectangle is \(A = length\times width\). For the larger rectangle with length \(12\) ft and width \(3\) ft, the area \(A_1=12\times3 = 36\) \(ft^{2}\).

Step2: Calculate the area of the smaller rectangle

The width of the smaller rectangle is \(12 - 5=7\) ft (since the total vertical side is \(12\) ft and one part is \(5\) ft), and the length is \(12 - 3 = 9\) ft (since the total horizontal side is \(12\) ft and one part is \(3\) ft). Using the area formula \(A = length\times width\), the area \(A_2=7\times9=63\) \(ft^{2}\).

Step3: Calculate the total area

The total area \(A = A_1+A_2\). Substitute \(A_1 = 36\) \(ft^{2}\) and \(A_2=63\) \(ft^{2}\) into the equation: \(A=36 + 63=99\) \(ft^{2}\).

Answer:

\(99\)