Question

The ratio of the perimeters of two rectangles is 4 to 7. The perimeter of the larger rectangle is 42 inches. What is the perimeter of the smaller rectangle?

A.
10.5 inches

B.
73.5 inches

C.
28 inches

D.
24 inches

Answer 1

It's c?

Answer 2

let's name the perimeter of the small x
and the large y
so \[\frac{y}{x}=4/7\]
they gave us one perimeter y=42
so
\[\frac{42}{x}=4/7\]

Answer 3

42/7 = 6 x4 = 24

Answer 4

This is a proportion of smaller to larger:

4. x
-- = ---
7. 42

Answer 5

Oh...D...Sorry. I read it wrong. Thank you. All of you.

Answer 6

So just solve for x.

Answer 7

You're welcome :)

Answer 8

i turned out i wrote it the wrong way
should be smaller to larger

Answer 9

It's okey

Answer 10

but you got the point :)

Answer 11

I passed C:

Answer 12

I say D