Chapter 11, Problem 2STP

To determine

Find the area of the enlargement compare to the area of the original picture.

Answer to Problem 2STP

Option J is correct.

Explanation of Solution

Given:

Lynette gets an enlargement of a 4 − inch by 6 − inch picture so that the new print has dimensions that are 4 times the dimensions of her original. How does the area of the enlargement compare to the area of the original picture?

4 options are:

F: The area is twice as large; G: The area if four times as large

H: The area is eight times as large; J: The area is sixteen times as large

Concept Used:

Area of rectangle is length times width.

Calculation:

Length and width of the enlarge picture: $4·4\text{in}\text{by}6·4\text{in}=16\text{in}\text{by}24\text{in}$

Area of the picture: $4·6=24\text{sq}\text{in}$ and rea of enlarged picture: $16·24=384\text{sq}\text{in}$

Compare to the area of the enlargement to the area of original picture: $\frac{384\text{sq}\text{in}}{24\text{sq}\text{in}}=16$

The area of the enlargement is 16 times as large as the area of the original picture.

Thus, the area of the enlargement is 16 times as large as the area of the original picture.

Option J is correct.