The length of a rectangle exceeds its breadth by 4cm. If the length is increased by 3cm and the breadth is increased by 2 cm, the new area exceeds the original area by 79 sq cm. How do you find the dimensions of the given rectangle?

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Answer 1 · 2018-05-13T18:16:49

13 cm and 17cm

#x and x+4# are the original dimensions.
#x+2 and x+7# are the new dimensions

#x(x+4)+79=(x+2)(x+7)#

#x^2+4x+79=x^2+7x+2x+14#

#x^2+4x+79=x^2+9x+14#

#4x+79=9x+14#

#79=5x+14#

#65=5x#

#x=13#