Question

The length of a rectangle exceeds its breath by 6cm. If the area of the rectangle is 160cm square, find its length and breadth.

Answer 1

Step-by-step explanation:

Breadth = b cm

Length = (b+6) cm

Area of the rectangle = l*b

160 = b(b+6)

160 = b^2+6b

b^2+6b-160 = 0

b^2+16b-10b-160 = 0

b(b+16) -10(b+16) = 0

(b+16)(b-10) = 0

Therefore, length is 16 cm and breadth is 10cm

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