Question

check my answer!
Which ratio represents the area of the smaller rectangle compared to the area of the larger rectangle? (Figure not drawn to scale)

Answer 1

i got 1/4(x+2)

Answer 2

That's correct.

Answer 3

thnk u

Answer 4

You sure it's not 4/x+2?

Answer 5

hmm thats not an option
but 4x(x+2) is

Answer 6

\[\frac{ x }{ x+5 }=\frac{ 4*(x) }{ (x+2)*(x+5) }\]

Answer 7

is it x/x+2?

Answer 8

Hm, actually nevermind sorry.

Answer 9

lol okay so the other guy was right?

Answer 10

I'm not 100% sure but I'll have to take his word for it

Answer 11

ok thnk u

Answer 12

Area of the smaller rectangle = \(x(x+5)\)
Area of the larger rectangle = \(4x(x^2+7x+10) = 4x(x+2)(x+5)\)

Ratio of areas (smaller to larger) = \[\frac{x(x+5)}{4x(x+2)(x+5)} = \frac{x}{4x(x+2)} = \frac{1}{4(x+2)}\]

Answer 13

@Luigi0210 was taking the ratio of the sides of the small rectangle and comparing it to the ratio of the sides of the large rectangle, which is not what problem asks....that would be the right setup for determining if the rectangles were proportional in shape, however.

Answer 14

Gotta watch out, multiple-choice questions often have wrong answers that represent results you could get if you set up the problem incorrectly. Don't assume the answer is right just because it is one of the choices :-)

Answer 15

Yup, I realized that right when I lef

Answer 16

*left