Question

Please Help! I Give Medals ;-;
A book is 6 inches wide and 9 inches tall.

A publisher wants to use a scale factor of 1.5 to enlarge a book. What will the area of the front of the book be after the book is enlarged?

Choices -
54 in2

81 in2

121.5 in2

78.75 in2

Answer 1

81

Answer 2

why so? :x

Answer 3

wym

Answer 4

Multiply both length and width by 1.5
Since the factor is 1.5 and then use area formula

Answer 5

The scale factor has to be applied to the length AND width.
The answer is NOT 81.

Answer 6

Math student is right

Answer 7

@Joey15243
Apply the scale factor of 1.5 to the length of 9 inches.
What new length do you get?

Answer 8

9 and 13.5 if i multiply the 6 and the 9 on there

Answer 9

6 x 1.5 = 9 . 9 x 1.5 = 13.5

Answer 10

Good. You did the scale factor to both length and width already.
You are correct so far.
Now find the new area by multiplying together the new length and the new width.
What is 13.5 in. * 9 in. ?

Answer 11

Then use area formula for new obtained length and width

Answer 12

121.5?

Answer 13

Correct.

Answer 14

Thanks guys!

Answer 15

Keep this in mind:
If a scale factor of x is applied, linear dimensions (length, width, height) become x times larger.
The area becomes x^2 times larger.
The volume becomes x^3 times larger.

Answer 16

mhm

Answer 17

The scale factor was 1.5.
Linear dimensions (length and width) became 1.5 times larger.
The area became 1.5^2 times larger.
Since 1.5^2 = 2.25, the area is now 2.25 times larger than it was.
The original area was 9 in. * 6 in. = 54 in.^2
The new area is 54 in^2 * 2.25 = 121.5 in.^2

Answer 18

Awesome! 121.5 it is