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Please help me with the work because i dont understand this.

Ms. Harvey uses 70ft of fencing to build a fence around a rectangular garden. The area of the garden is 300 square feet. What are the dimensions of the rectangular garden? enter your answers in the boxes.

The longer side of the rectangular garden is blank feet, and the shorter side is blank feet.

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wegnerkolmp2741o

Answer:

The dimension are 20 ft by 15 ft

Step-by-step explanation:

A = l*w

P = 2(l+w)

we know the area = 300

and the perimeter = 70

300 = lw

70 = 2 (l+w)

divide by 2

70/2 = 2/2 (l+w)

35 = l+w

subtract w

35-w = l+w-w

35 -w =l

substitute this into 300 = lw

300 = (35-w) * w

distribute

300 = 35w - w^2

subtract 300 from each side

0 = -w^2 +35w - 300

divide by -1

0 = w^2 - 35w + 300

factor

0= (w-15) (w-20)

using the zero product property

w-15 = 0   w-20 =0

so w=15, w=20

if w=15   then l=35 -w  l = 35-15   l=20

if w=20  then l=35-w   l= 35-20 = 15


The dimension are 20 ft by 15 ft

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