The height of a rectangle is multiplied by 4 . Which of the
following describes the effect of this change on the area?

Question

The height of a rectangle is multiplied by 4 . Which of the following describes the effect of this change on the area?

UpStudy AI · Accepted Answer

1. Let the original width be $$ w $$ and the original height be $$ h $$. The original area of the rectangle is  
   $$
   A = w \times h.
   $$

2. The height is multiplied by 4, so the new height is  
   $$
   4h.
   $$

3. The new area becomes  
   $$
   A' = w \times (4h) = 4wh.
   $$

4. Since $$ wh $$ is the original area $$ A $$, we have  
   $$
   A' = 4A.
   $$

5. Thus, the area is quadrupled.
The area of the rectangle becomes four times larger.

Solución de inteligencia artificial de Upstudy