Question

A rectangle is removed from the right hand corner of a square board. What is the area of the remaining board in square feet?

(Full question above)

Answer 1

104 ft²

Explanation:

METHOD 1:

(picture #1)

`A_1=(12)(8)=96\ ft^2\\\\A_2=(2)(4)=8\ ft^2\\\\A=A_1+A_2\Rightarrow A=96+8=104\ ft^2`

METHOD 2:

(picture #2)

`A_1=(12)(12)=144\ ft^2\\\\A_2=(10)(4)=40\ ft^2\\\\A=A_1-A_2\Rightarrow A=144-40=104\ ft^2`

Answer 2

104 ft²

Explanation:

12² - 4 x (12-2) = 144 - 40 = 104