Question

Correct Answers only please! I only have two attempts on this assignment, and I cannot retake it. I've already tried the answer choice C on this question, but it was incorrect. Can someone please provide me the CORRECT answer choice?
A student sketched some art on an 8.5 inch x 11 inch piece of paper. He wants to resize it to fit an 5 inch x 7 inch frame (as shown below)



What is the value of x? (Hint: Like Step #1 of the example in class)




A. x = 5



B. x = 6



C. x = 5.41



D. x = 7

Answer 1

Answer:

Option D - 7 inches.

Step-by-step explanation:

Given : Refer the figure.

To find : What is the value of x ?

Solution :

A student sketched some art on an 8.5 inch × 11 inch piece of paper.

He wants to resize it to fit an 5 inch × x inch frame.

According to question,

$\frac{8.5}{11}=\frac{5}{x}$

Solving by cross multiplication,

$8.5x=5\times 11$

$x=\frac{5\times 11}{8.5}$

$x=6.47$

Approximate, the value of x is 7 inches.

Therefore, option D is correct.

Answer 2

Answer: A. x= 5"

Step-by-step explanation:

ORIGINAL/NEW = 11"/7" = 8.5"/x

x = 7" x 8.5"/11" = 59.5"/11 = 5.409 ≅ 5.41"

If we wanted to keep most of the engraving, we would adjust the larger dimension, but we have been asked to adjust one dimension to 5", since it is said that C. x = 5.41 is incorrect

Then we will adjust

ORIGINAL/NEW = 11"/y = 8.5"/5"

y= 11" x 5"/8.5" = 6.47"

Then the new dimensions of the paper are 6.47" x 5" to fit an 7" x 5" frame

Answer: A. x= 5"

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