Home » Test Prep » ACT Section 2: Math » How does the area of a rectangle change if both the base and the height of the original rectangle are tripled?
How does the area of a rectangle change if both the base and the height of the original rectangle are tripled?
A. The area is tripled.
B. The area is six times larger.
C. The area is nine times larger.
D. The area remains the same.
E. The area cannot be determined.
Correct Answer: C
Explanation/Reference:
Explanation:
Since both dimensions are tripled, there are two additional factors of 3. Therefore, the new area is 3 x 3 = 9 times as large as the original. For example, use a rectangle with a base of 5 and height of 6. The area is 5 x 6 = 30 square units. If you multiply each side length by 3, the new dimensions are 15 and 18. The new area is 15 x 18, which is 270 square units. By comparing the new area with the original area, 270 square units is nine times larger than 30 square units; 30 x 9 = 270.
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