Question

9. A rectangle 11 cm by 6 cm is similar to

a rectangle 2 cm by x cm. Find the two
possible values of x.

Answer 1

• 11/3 cm or 12/11 cm

Explanation:

Given

• Rectangle with sides of 11 cm and 6 cm.
• A similar rectangle has sides 2 cm and x cm.

Option 1

The side x cm is corresponding to 11 cm.

In this case the ratio of corresponding sides:

• x/11 = 2/6
• x /11 = 1/3
• x = 11/3 cm

Option 2

The side x cm is corresponding to 6 cm.

In this case the ratio of corresponding sides:

• x/6 = 2/11
• x = 12/11 cm

The possible values of x are:

• 11/3 cm and 12/11 cm