Question

find the area inside the figure without the shaded rectangles

Explanation:

Step1: Convert yards to feet

Since \(1\) yard \( = 3\) feet, \(4\) yards \(=4\times3 = 12\) feet and \(7\) yards \(2\) feet \(=7\times3+2=23\) feet.

Step2: Calculate the area of the large rectangle

The area of a rectangle is \(A = length\times width\). For the large rectangle with length \(l = 23\) feet and width \(w = 12\) feet, \(A_{large}=23\times12=276\) square - feet.

Step3: Calculate the area of the small square

The area of a square is \(A = s\times s\) (where \(s\) is the side - length). For the square with \(s = 3\) feet, \(A_{square}=3\times3 = 9\) square - feet.

Step4: Calculate the area of the medium rectangle

The area of a rectangle is \(A = length\times width\). For the rectangle with \(l = 9\) feet and \(w = 5\) feet, \(A_{rectangle}=9\times5=45\) square - feet.

Step5: Calculate the un - shaded area

The un - shaded area \(A=A_{large}-A_{square}-A_{rectangle}\). Substitute the values: \(A = 276-9 - 45\). First, \(276-9=267\), then \(267-45 = 222\) square - feet.

Answer:

\(222\) square - feet