The length of a rectangle is one unit more than its width. if the area is 30 square units, find the dimensions of the rectangle

Question

Mathematics

Juliana

9 October, 12:21

The length of a rectangle is one unit more than its width. if the area is 30 square units, find the dimensions of the rectangle

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Answers (1)

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Adolfo · Answer 1

A=xy and y=x+1 so

A=x (x+1)

A=x^2+x

x^2+x-A=0 since A=30

x^2+x-30=0

x^2-5x+6x-30=0

x (x-5) + 6 (x-5) = 0

(x+6) (x-5) = 0, since x>0 to have any meaning ...

x=5 units, and since y=x+1

y=6 units.