Find the area of a 9-inch by 6-inch rectangle with a 4-inch by 4-inch square removed from one corner.


a 70 in.mc001-1.jpg


b 38 in.mc001-3.jpg


c 200 in.mc001-2.jpg


d 46 in.mc001-4.jpg

Verified Answer :

The answer is B for sure!!!

Answer: B. \(38\ in^2\)

Step-by-step explanation:

Area of a rectangle with dimension " l by w" is given by :-

\(A_r=l\times w\)

Area of square with dimension  "a by a" is given by :_

\(A_s=(a)^2\)

Now Using (1), Area of rectangle with dimension  9-inch by 6-inch will be :-

\(A_r=9\times 9=54\ in^2\)                  

Using  (2),  Area of square with dimension 4-inch by 4-inch  will be :-

\(A_s=4^2=16\ in^2\)          

Now, the required area = \(A_r-A_s=54-16=38\ in^2\)

Hence, B is the correct option.