Question

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?

Answer 1

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

$9\times3=27$ square inches

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

So, new area becomes $6\times18=108$ square inches.

Now,

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

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

Hence, the area will increase by 4 times.

Answer 2

Check the picture below

how many times is 27 into 108?