Question

Consider the squares shown. Square P has a side length of 12 centimeters. Square Q has a side length 25% smaller than Square determine the area of both sides. what is the precent decrease in area P to area Q 40 points exra for correct answer

Answer 1

Decrease of 43.75% in area

Explanation:

Finding Side Length of Q :

⇒ Side Length P (100% - 25%)

⇒ 75 % x Side Length O

⇒ 0.75 x 12 cm

⇒ 9 cm

Area of Squares P and Q :

⇒ Area (Square P) = (12)²

⇒ Area (Square P) = 144 cm²

⇒ Area (Square Q) = (9)²

⇒ Area (Square Q) = 81 cm²

% Decrease :

⇒ New - Original / New

⇒ 81 - 144 / 144

⇒ -63/144

⇒ -21/48

⇒ -7/16

⇒ -0.4375

⇒ Decrease of 43.75% in area