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a farmer wants to enclose two adjacent goat pens beside his barn (see figure above). the wall of the barn forms one side of the goodness and the farmer has 48 m of fencing available

a.what is the largest possible total area of the goat pens?

b. what are the dimensions of each goat pen?​


A Farmer Wants To Enclose Two Adjacent Goat Pens Beside His Barn See Figure Above The Wall Of The Barn Forms One Side Of The Goodness And The Farmer Has 48 M Of class=

Sagot :

Answer:

Max area: 30 * 10 = 300 sq/meters

Step-by-step explanation:

From the information given, we will need 3 widths and 1 length  

L + 3W = 60

L = (60-3W)

Area

A = L*W

Replace L with (60-3W)

A = W(60-3W)

A = -3W^2 + 60W

max area occurs at the axis of symmetry, (x=-b/(2a)), in this equation a=-3, b=60

W = -60/2x(-3)

W = + 10 meters is the width

Find the Length

60 - 3(10) = 30 meters is the length

Max area: 30 * 10 = 300 sq/meters