Give the possible expression for the length and breadth of a rectangle whose area is $25 a^{2} - 35 a + 12$ (3 marks)

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Solution

We know that Area of a rectangle= Length *Breadth
Area= $25 a^{2} - 35 a + 12$
$A r e a = 25 a^{2} - 20 a - 15 a + 12 (1 m a r k) = 5 a (5 a - 4) - 3 (5 a - 4) = (5 a - 4) (5 a - 3) (1 m a r k) H e n c e t h e p o s s i b l e e x p r e s s i o n s f o r l e n g t h a n d b r e a d t h a r e L e n g t h B r e a d t h (i) (5 a - 4) u n i t s (5 a - 3) u n i t s (i i) (5 a - 3) u n i t s (5 a - 4) u n i t s (1 m a r k)$

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