Question

Can someone please explain this problem to me? I am trying to figure it out. Can you also give an explanation as well.

Answer 1

Explanation:

If we look at both shapes, you'll notice that they both increase. It's not quite double, but it's close to that.

If we divide the big shape and the smaller shape (10mm / 4mm) we get a scale factor of 2.5 for the big shape.

Similarly, if we do 5mm / 2mm we get the same number, meaning the scale factor is 2.5x

Using this information, we can calculate x using 7 * 2.5, which means that x should equal 17.5 mm.

A: Scale of 2.5x
B: x = 17.5 mm

Answer 2

Explanation:

a) To find the scale factor, we can try to divide the same side of the larger figure (figure B) by the smaller figure (figure A).

10/4 = 2.5

5/2 = 2.5

We can see that figure A was enlarged 2.5 times to obtain figure B.

b) Since we now know the scale factor is 2.5, all we need to do now is multiply 7 by 2.5 to find x.

7 * 2.5 = 17.5 mm