Rectangle and triangle area comparison
Rectangle and triangle area comparison
Secondary 2
6 marks
TGM Original Questions
Optional extension
A rectangle has dimensions \((3x+4)\) cm by \((x+2)\) cm. A right-angled triangle has base \((2x+3)\) cm and height \(2x\) cm. The rectangle area is \(52\text{ cm}^2\) greater.
- Show that \(x^2+7x-44=0\).[2]
- Solve for the valid \(x\).[2]
- Find the rectangle perimeter.[2]
Solution:
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Answer:(ii) \(x=4\) (iii) \(44\) cm. (i) \(x^2+7x-44=0\) (shown).
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