A piece of 4 feet length is cut from one side of a 12 feet long square board. of the board. What is the percentage reduction in area of the board?

Correct option is D

Given:

Length of square board = 12feet

Piece to be cut from board = 4 feet

Formula Used:

Percentage change = $$\frac{Change\ in\ Value}{Original\ Value} \times 100$$​​

Solution:

Area of board = $$12 \times 12$$ = 144 sqft

Reduced area = Area of board cut = $$4 \times 12$$​ = 48 sqft

Percentage reduction =$$\frac{48}{144} \times 100 = 33.33\%$$​​