Question 442302
The area of this rectangle is 8*12=96 cm^2. So the area of the similar rectangle is 2*96=192 cm^2.
A similar rectangle has to have x times the length and x times the width, so an equation for its area is 8x*12x=192.
96x^2 = 192
x^2 = 2
x = rt2.
So the length and width are both multiplied by the square root of 2.
The new dimensions are 8rt2 cm and 12rt2 cm.