Ken puts two cardboard squares together, as shown in the diagram below.
The squares have areas of 4 cm² and 25 cm².
Ken draws a line from the bottom left to top right, and shades the region above the line.
What is the area of the shaded region?
- \(13.5\ \text{cm}^2\)
- \(14.5\ \text{cm}^2\)
- \(17.5\ \text{cm}^2\)
- \(19\ \text{cm}^2\)
Show Worked Solution
\(\text{Small square }\rightarrow 2\ \text{cm sides}\)
\(\text{Large square }\rightarrow 5\ \text{cm sides}\)
| \(\text{Shaded Area}\) | \(=\dfrac{1}{2}\times bh\) |
| \(=\dfrac{1}{2}\times 5\times 7\) | |
| \(=17.5\ \text{cm}^2\) |
\(\Rightarrow C\)