Hi NandishSS,

Keep in mind that this is a value DS where we need to find the value of x, given that 1 centimeter = x meters.

Statement 1 : A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters

The area of a square is given by a^2 (if we consider each side to be of length 'a').
Actual area of the room is 12 square meters -----> a^2 = 12 ------> a = 2(root3) meters
Area of the scale drawing is 48 square centimeters -----> a^2 = 48 -----> a = 4(root3) centimeters

Since 4(root3)centimeters = 2(root3)meters, 1 centimeter = 2(root3)/4(root3) = 1/2 meter.Sufficient.

Statement 2 : The 15-meter length of the house is represented by a segment 30 centimeters long.

Given 30 centimeters = 15 meters, 1 centimeter = 15/30 = 1/2 meter. Sufficient.

Hope this helps!

CrackVerbal Academics Team

1cm = x meter
squaring both sides
1 = x2

(1) 48cm^2=12m^2
cm^2=(1/4)m^2
1cm = 1/2 m

(2) 30cm = 15 m
1cm = 1/2m

both are sufficient
so d