The question is The area of a square floor on a scale drawing is 25 square centimeters, and the scale drawing is 1 centimeter:4 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?

Please I need a awsner

2 answers

25cm^2 = 5x5 cm
so the floor is (5*4)^2 = 400ft^2
or, since area scales as the square of the scale,
(1:4)^2 = 1:16
25*16 = 400
25 square centemeters = 5x5 centemeters. The floor is (5 times 4) squared = 400square feet. Or.......... since area scales as the square of the scale, (1:4) squared = 1:16, and 25 times 16 = 400. Hope u have a great day UwU.