Question

Olivia has a 20 meter-long fence that she plans to use to enclose a rectangular garden of width w. The fencing will be placed around all four sides of the garden so that its area is 18.75 square meters. Write an equation in terms of w that models that situation.

Answer 1

Answer:

Step-by-step explanation:

Length of garden = 10-w

Area = (10-w)w = 18.75

w² - 10w + 18.75 = 0

Answer 2

Answer is  $w^{2} - 10w + 18.75 = 0$

Rectangle Formulas:

Area of the Rectangle (A) = length x breadth.

Perimeter of rectangle (P) = 2 x (length + breadth)

(Given),

A = 18.75square meters

P = 20 meter

Let's length be l and width be w.

P = 2 (l + w)

20 = 2(l + w)

l + w = 10

l = 10 - w    ----( 1 )

Now, A = l x w

18.75 = (10 - w) x w

18.75 = 10w - $w^{2}$

$w^{2} - 10w + 18.75 = 0$

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