Question

If you were tasked by your parents to make a mini garden in your lot and they are requesting to see plants in one big rectangle. How are you going to find the length and the width of the rectangle? The area of a rectangle is 144.4m2 and the length is 14m longer than the width.​

Answer 1

Answer:

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Answer 2

Given: The area of a rectangle is 144.4 m² and the length is 14 m longer than the width.​

To find: The length and the width of the rectangle.

Solution:

• Let the width of the rectangular mini garden be x.
• So, the length would be equal to,

        $l = 14m + x$

• The area of the rectangular mini garden is given by the formula,

       $A = l * b$

• Here, A is the area, l is the length and b is the breadth or width.
• So, on equating the given values,

        $144.4m^{2} = (14m + x) * (x)$

• This provides a quadratic equation,

        $x^{2} + 14x - 144.4 = 0$

• On solving, the values of x are found to be,

        $x = 6.91$ or $x=20.91$

• So, the length is given as,

        $14 + x = 20.91m$ or $14 + x = 34.91m$

Therefore, the length and the width of the rectangle is equal to 20.91 and 6.91, respectively, or 34.91 and 20.91, respectively.