Difference between rectangle and triangle areas

Difference between rectangle and triangle areas

Secondary 2
3 marks
TGM Original Questions

A rectangle has length \((7x+4)\) cm and width \((3x+5)\) cm. A triangle has base \((6x-2)\) cm and perpendicular height \((2x+1)\) cm. Find the difference, rectangle area minus triangle area, in the form \(ax^2+bx+c\). Assume all dimensions are positive.[3]

Solution:

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Answer:\(15x^2+46x+21\text{ cm}^2\).

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