The length of a rectangle is 5 centimeters less than its width. What’s re the dimensions of the rectangle if it’s area is 300 square centime

Question

The length of a rectangle is 5 centimeters less than its width. What’s re the dimensions of the rectangle if it’s area is 300 square centimeters?
I need the length of one of the side and the width

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Eva 2 months 2021-10-15T17:51:36+00:00 1 Answer 0 views 0

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    2021-10-15T17:53:14+00:00

    Answer: The length of rectangle is 15 cm and width is 20 cm

    Step-by-step explanation:

    As according to question

    Let the width of rectangle = x cm

    Length of rectangle =(x- 5) cm

    Area of rectangle is 300 cm²

    As we know Area of rectangle is given by

    Area = length \times breadth \\\\\Rightarrow 300 = (x-5)x\\\\\Rightarrow 300 = x^2-5x\\\\\Rightarrow x^2-5x-300 = 0 \\\\\Rightarrow x^2-20x+15x-300 = 0 \\\\\Rightarrow x(x-20) +15(x-20) =0\\\\\Rightarrow (x-20)(x+15)=0

    Therefore either (x-20)= 0 or (x+15)=0

    i.e. either x= 20 or x = -15

    Now width can not be negative

    Therefore it cant be -15

    Hence the width is 20 cm

    Length = x- 5 = 20-5 = 15 cm

    Hence the length of rectangle is 15 cm and width is 20 cm

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