A rectangle has an area of 4 square centimeters. A second rectangle is 3 times as long and 3 times as wide as the first rectangle. What is the area of the second rectangle?

The area of the second rectangle will be 36 square centimetres

Step-by-step explanation:

Given:

Area of the first rectangle = 4 square centimetres

A second rectangle is 3 times as long and 3 times as wide as the first rectangle

To Find:

Area of the second rectangle = ?

Solution:

We know that area of the rectangle is Length X breadth

Length X width = 4

In this case the are 2 possibilities

Case 1:

Length = 2 cm

Width = 2 cm

2 X 2 = 4

Now According to the question

Length is 3 times = 2 X 3 = 6cm

width is also 3 times = 2 X 3 = 6 cm

Now the area of the second rectangle will be

6 X 6 = 36 square centimetres

Case 2:

Length = 4 cm

Width = 1 cm

4 X 1 = 4

Now According to the question

Length is 3 times = 4 X 3 = 12 cm

width is also 3 times = 1 X 3 = 3 cm

Now the area of the second rectangle will be

12 X 3 = 36 square centimetres