Two squares are similar. The ratio of a set of sides is 2:4. What is the ratio of their areas?
2007-07-30 02:54:51 · 5 answers · asked by zerokun4 1 in Science & Mathematics ➔ Mathematics
4 : 16 = 1 : 4
2007-07-30 02:59:13 · answer #1 · answered by Como 7 · 1⤊ 0⤋
One square measures 10" by 10" and the other measures 20" by 20" a ratio of 2:4 being the same as 1:2. Look it as a fraction or division.
For each square calculate L x W...
... 10 x 10 = 100 and 20 x 20 = 400
A ratio of 100 over 400, 400 divide by 100 all answers equal 1:4.
2007-07-30 10:45:36 · answer #2 · answered by Anonymous · 0⤊ 1⤋
Unlike other 4-sided figures, all squares will ALWAYS be similar, since all four sides of each are equal. Since the ration of the sides of two squares is 2:4 or 1:2, the ratio of their areas will be (1/2)^2 = 1:4
2007-07-30 10:04:44 · answer #3 · answered by Paleologus 3 · 0⤊ 1⤋
The ratio you gave is a linear ratio, 2:4 = 1:2.
The area ratio is always x^2:y^2 when the linear ratio given is x:y.
Therefore the ratio of their areas is 1:4.
Hope this helps! :-)
BTW, if you wanted the volume ratio, then it would be x^3:y^3.
2007-07-30 10:06:42 · answer #4 · answered by apodosis 2 · 0⤊ 1⤋
2^2:4^2
= 4:16
= 1:4
2007-07-30 09:57:07 · answer #5 · answered by gudspeling 7 · 0⤊ 1⤋