Area of a trapezium-triangle composite

Area of a trapezium-triangle composite

Secondary 2
TGM Original Questions

A composite logo consists of trapezium \(PQRS\) joined to right-angled triangle \(RST\). The parallel sides of the trapezium are \(PQ=(8x+4)\) cm and \(RS=(2x+2)\) cm, and their perpendicular separation is \((3x-1)\) cm. Also, \(RT=5x\) cm and \(RS\perp RT\). Find the total area in the form \(ax^2+bx+c\). Assume all dimensions are positive.

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:\(20x^2+9x-3\text{ cm}^2\).

Need help? Join our JC Math tuition classes.

Learn more