1. A farmer wants to build a fence around a rectangular area of his farm with one side of the region against his barn. He has 76 feet of fencing to use for the three remaining sides. What dimensions will make the largest area for the region?

19 ft by 38 feets

Step-by-step explanation:

Given that :

Available fencing = 76 feets

Rectangular fencing with 3 sides

Let the 3 sides be :

x, x, y

x + x + y = 2x + y = 76

y = 76 - 2x

Area = x * y = xy

Area = (76 - 2x) * x

Area = 76x - 2x²

Take derivative of Area with respect to x ; dA

dA /dx = 76 - 4x = 0

76 - 4x = 0

-4x = - 76

x = 76 / 4

x = 19

2x + y = 76

2(19) + y = 76

38 + y = 76

y = 76 - 38

y = 38

Hence, dimension : 19feet by 38 feets

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !

answer: f = 32.2m

step-by-step explanation: that is the answer