Question

A rectangle has a length of 6 cm and a width of 3 cm. Each side is doubled in length. What is the ratio of the areas of the two rectangles

Answer 1

Answer:

Ratio of the area = 4 : 1

Step-by-step explanation:

Given  : A rectangle has a length of 6 cm and a width of 3 cm.Each side is doubled in length.

To find : What is the ratio of the areas of the two rectangles.

Solution : Length = 6 cm.

Width = 3 cm .

Area 1 = length * width .

Area = 6 * 3

Area 1 = 18 cm².

If the each side is double :

Length = 12 cm .

Width = 6 cm .

Area 2 = 12 * 6 .

Area 2  = 72 cm².

Ratio of the area = $\frac{Area2}{Area1}$.

Ratio of the area = $\frac{72}{18}$.

Ratio of the area = 4 : 1

Therefore, Ratio of the area = 4 : 1

Answer 2

Area  1 = 6 x 3 = 18

Area 2 = 12 x 6 = 72

Ratio = 18 : 72

Ratio = 1 : 4