A composite logo consists of trapezium $PQRS$ joined to right-angled triangle $RST$. The paralle

Question

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. $(8x+4)\text{ cm}$ $(2x+2)\text{ cm}$ $(3x-1)\text{ cm}$ $5x\text{ cm}$ $P$ $Q$ $R$ $S$ $T$

Accepted Answer

$20x^2+9x-3\text{ cm}^2$.

Area of a trapezium-triangle composite

Area of a trapezium-triangle composite

Solution:

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