SOLUTION: The widths of two similar rectangles have a ratio of 2:6 The area of the smaller rectangle is 12 ft2. What is the area of the larger rectangle? I'm not sure how to go abou

Question 1071110: The widths of two similar rectangles have a ratio of 2:6
The area of the smaller rectangle is 12 ft2.
What is the area of the larger rectangle?
I'm not sure how to go about this question. How do you solve it?
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
ratio 2:6, the smaller is 12 so this is the 2 in the ratio.
2 = 12
6 = x
cross multiply:
2x = 72
x = 36
-------------------------------------
Check:
2+6 = 8
2/8 = 0.25
6/8 = 0.75
Now with the areas:
12+36 = 48
12/48 = 0.25
36/48 = 0.75 Correct.
Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!

The widths of two similar rectangles have a ratio of 2:6
The area of the smaller rectangle is 12 ft2.
What is the area of the larger rectangle?
I'm not sure how to go about this question. How do you solve it?

The rectangles' sides are in a ratio of (smaller to larger), and so, their areas will be in a ratio of 1²:3², or 1:9.
Now, since the smaller rectangle's area is 12 ft², it follows that the larger rectangle's area will be:
RELATED QUESTIONS
Two similar rectangles have a scale factor of 3:2. If the area of the larger one is 45,... (answered by ikleyn)
The widths of two similar rectangles are 16 and 14. What is the ratio of the perimeters?... (answered by linh117)
The scale of two similar rectangles is 3:4. The area of the smaller rectangle is 207... (answered by edjones)
The widths of two similar rectangles are 8 cm and 18 cm. What is the ratio of the... (answered by richwmiller)
the ratio of two similar rectangles if 1:4 of the smaller rectangle has an area of 40... (answered by MathLover1,vleith)
The perimeter of rectangle A is 10 cm and its area is 6 cm^2. The perimeter of rectangle... (answered by ikleyn)
what's the ratio area of two rectangles when its 2 to 5. If the area of the larger... (answered by Alan3354)
The widths of two similar rectangles are 16 cm and 14 cm. What is the ratio of the... (answered by Alan3354)
The widths of two similar rectangles are 25 ft. and 20 ft. What is the ratio of the... (answered by htmentor)