David wants to reduce

a rectangular image on his computer so that
the new image has 25% of the area of the
original image. How should David modify
the image? Justify your answer.

1 answer

area = constant * length ^2

1/4 area = constant * (length/x)^2

x^2 = 4
x = 2
divide all lengths by 2

area scales with square of length ratio

if photo is 10 by 20, area - 200
divide lengths by 2
5 by 10 , area = 50
which is 1/4 of original area