A rectangle has a base of 3 inches and a height of 9 inches. If the dimensions are doubled, what will happen to the area of the rectangle?

Question

asked Feb 22, 2018 183k views

2 Answers

Brett Champion · Answer 1 · 2018-02-28T15:58:26+0000

Answer:

Area will increase by 4 times

Step-by-step explanation:

Given: A rectangle has a base of 3 inches and a height of 9 inches.

To find: If the dimensions are doubled, what will happen to the area of the rectangle?

Solution:

It is given that a rectangle has a base of 3 inches and a height of 9 inches.

Now, to find if the dimensions are doubled what will happen to the area, first we need to find the original area.

Original area of rectangle, when base is 3 inches and height 9 inches is

9*3=27 square inches

Now, when dimensions are doubled , the base becomes 6 inches and height becomes 18 inches

So, new area becomes
6*18=108 square inches.

Now,

$\frac{\text{new area}}{\text{original area} }=(108)/(27)$

$\implies\frac{\text{new area}}{\text{original area} }=(4)/(1)$

Hence, the area will increase by 4 times.