Question

A rectangle has a length of 5 cm and a

width of 4 cm. Every dimension is
tripled to form a second rectangle.
What is the ratio of the areas of the two
rectangles?

Answer 1

1:9 or 1/9

Explanation:

if a rectangle is 5cm × 4cm

Area of rectangle= length ×width

= 5 × 4

=20cm²

if we triple dimensions of a rectangle we get the second rectangle

therefore, (5×3)cm × (4×3)cm

Area of second rectangle= 12 ×15

=180cm²

ratio is 20/180= 1/9 (Ans.)

Answer 2

1:9

Explanation:

First Rectangle:

width x height = area

4 * 5 = 20

Second Rectangle:

(4*3)*(5*3)=x

12 * 15 = 180

Ratio:

180/20 = 90

1:9