A rectangular area is being fenced in along a river that serves as one side of the rectangle.
(a) Write an expression for the total amount of
fencing needed in terms of the width, w, and the
length, 1.
(b) If w=12 feet and 1= 20 feet, how much fencing
is needed? Use proper units
W
river
W
(c) If the amount of fencing we have available is 120 feet and we want to devote 30 feet of it to the length, 1,
then set up an equation to solve for w and find the width.

Respuesta :

a. Total amount of fencing needed = perimeter of the rectangular area excluding one length of the side close to the river = F = l + 2w

b. F = 44 ft

c. The width (w) = 45 ft.

What is the Perimeter of a Rectangle?

Perimeter of rectangle = 2(length + width)

a. Total amount of fencing needed = perimeter of the rectangular area excluding one length of the side close to the river = l + 2w

F = l + 2w

b. w = 12 ft

l = 20 ft

Amount of fencing needed, F = l + 2w = 20 + 2(12)

F = 44 ft

c. F = 120 ft

l = 30 ft

Substitute F = 120 and l = 30 into F = l + 2w to solve for w

120 = 30 + 2w

120 - 30 = 2w

90 = 2w

90/2 = w

w = 45

The width (w) = 45 ft.

Learn more about the perimeter of rectangle on:

https://brainly.com/question/24571594

#SPJ1

Ver imagen akposevictor