Application type Questions In a bar graph, if a rectangle of height 7 cm represents 42 boys, the rectangle of height 5 cm represents \( \begin{array}{llll}\text { A) } 25 & \text { B) } 30 & \text { C) } 32 & \text { boys }\end{array} \)

To find out how many boys the rectangle of height 5 cm represents, we first establish the proportion. If 7 cm corresponds to 42 boys, we can set up a ratio: \[ \frac{7 \text{ cm}}{42 \text{ boys}} = \frac{5 \text{ cm}}{x \text{ boys}} \] Cross-multiplying gives us \( 7x = 42 \times 5 \). Solving for x, we find \( x = 30 \). So, the height of 5 cm represents 30 boys. Apply similar reasoning in solving real-life data representation problems. For instance, always ensure to maintain the same units and cross-multiply accurately to check your answers in such graph representations.