Question

23) Jalen is buying an area rug for his front hall. He wants the rug to be triple the dimensions of hiscurrent front hall rug. How will the area of the new rug compare to the area of his current rug?A. The area is increased by 3 units.B. The area is nine times larger.C. The area is three times larger.D. The area is six times larger.

Answer 1

B. The area is nine times larger.

Step-by-step explanation:

To answer this question, we use sample dimensions.

If the dimensions of his current front hall rug are

Width = 1 units

Length =2 units

Area = 1 x 2= 2 square units

If the dimensions are tripled, we have:

Width = 1 X 3 = 3units

Length =2 X 3 =6 units

Area = 3 x 6= 18 square units

Now, 18/2 =9

Therefore, we conclude that the area is nine times larger.

Another Approach

Scale factor = 3

Change in Area = Area of Previous Dimension X 3 X 3

=9 X Area of the Previous Dimensions

The correct choice is B.