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GalinKa [24]
3 years ago
15

The perimeter of a rectangular field is 340 yd. The length is 30 yd longer than the width. Find the dimensions.

Mathematics
1 answer:
almond37 [142]3 years ago
3 0
Let x = width x + 30 = length 2x + 2(x+30) = 340 4x + 60 = 340 4x = 280 x = 70 Width  x = 70 yd

Length  x + 30= 100 yd 

Perimeter = 2l + 2w= 2l=200 w=140 200+140 = 340 yd
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Rashid [163]

Answer:

a) A = x*(400 - 4*x)

b) domain of function A(x) is ( 0 , 100 )

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Step-by-step explanation:

Given:

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- Inner sections length x

Find:

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b) Find the domain of the function

c) Using the graph, find the dimensions that leads to largest area

Solution:

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                                 y = L - x - x - x - x

                                 y = L - 4*x

                                 y = 400 - 4*x

- The area of a rectangle is as follows:

                                 A = x*y

- Replace y with the expression derived first:

                                A = x*(400 - 4*x)

- To find the domain of the function we know that A >= 0:

                                 400*x - 4x^2 > 0

                                 x(400 - 4x) > 0

                                 x > 0 , 400 - 4*x < 0

                                 x < 100

- Hence, the domain of function A(x) is ( 0 , 100 )

- From the graph given, we can see that Area is maximum when x = 30 ft. Denoted by the turning point of the graph.

- Hence, the dimension of swimming section x = 30 ft maximizes area.

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3 years ago
Herbert has sold 90, 45, 103 and 68 appliances in the last four months, respectively. How many appliances will he need to sell t
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Answer:

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