Question

section b use the ratio tables to find the missing lengths in the pairs of similar shapes. example 11 cm 5 cm 33 cm x x = 15 cm x = 5 × 3 × 3 × 3 1) 9 cm 3 cm x 15 cm

Explanation:

Step1: Find the scale factor

The scale factor \(k\) is found by comparing the corresponding sides of the similar rectangles. The height of the smaller rectangle is \(3\ \text{cm}\) and the height of the larger rectangle is \(15\ \text{cm}\). So, \(k=\frac{15}{3}=5\).

Step2: Calculate the value of \(x\)

The length of the smaller rectangle is \(9\ \text{cm}\). Using the scale factor \(k = 5\), we find \(x\) (the length of the larger rectangle) by multiplying the length of the smaller rectangle by the scale factor. So, \(x=9\times5 = 45\ \text{cm}\).

Answer:

\(x = 45\ \text{cm}\)