Question

Here are two similar rectangles. Work out the missing length:

Given:
Rectangle 1: Length = 15cm, Width = 2.5cm
Rectangle 2: Length = 1.5cm, Width = x cm
a. 0.2 cm
b. 0.25 cm
c. 0.15 cm
d. 0.18 cm

Answer 1

The missing width of the second rectangle is 0.15 cm.

Step-by-step explanation:

To find the missing width of the second rectangle, we can set up a proportion using the lengths of the two rectangles. The ratio of the lengths is 15/1.5 = 10. Since the ratios of corresponding sides in similar rectangles are equal, we can set up the proportion:

15/2.5 = 1.5/x

Cross-multiplying, we get:

15x = (1.5)(2.5)

Simplifying, we find that x = 0.15 cm. Therefore, the missing width of the second rectangle is 0.15 cm.