The length of a new rectangular playing field is 7 yards longer than triple the width. If the perimeter of the rectangular playing field is 438 ​yards, what are its​ dimensions?

Answers

Answer 1

Explanation:

L = 7+ 3W

the perimeter = 438

2(L+W) = 438

by using substitution :

2(7+3W+W) = 438

2(4W+7) = 438

4W+7 = 438/2

4W+7 = 219

4W = 219-7

4W = 212

W = 212/4 = 53

L = 7 + 3(53)

L = 7 + 159 = 166

so, the dimensions : the length = 166 yards

and the width = 53 yards

Answer 2

L = 7+ 3W

the perimeter = 438

2(L+W) = 438

by using substitution :

2(7+3W+W) = 438

2(4W+7) = 438

4W+7 = 438/2

4W+7 = 219

4W = 219-7

4W = 212

W = 212/4 = 53

L = 7 + 3(53)

L = 7 + 159 = 166

so, the dimensions : the length = 166 yards

and the width = 53 yards

What is the area of rectangular field?

Width = w

triple the width = 3*w = 3w

Length = 7 yards longer than triple the width = 3w + 7

Perimeter = 438 yards

2*(length +width) = 438

2*(3w+ 7 + w) = 438       {Combine like terms}

2 * (4w + 7)     = 438

2*4w +2*7 = 438       {Use distributive property}

8w + 14 = 438          {Subtract 14 from both side}

8w = 438 - 14

8w = 424          {Divide both sides by 8}

w = 424/8

w = 53 yards

Length = 3*53 +7 = 159 + 7 = 166 yards

Width = 53 yards

Length = 166 yards

The length and width of another rectangular field with same perimeter but a larger area is 80 m by 70 m.The perimeter of the existing field is

2(l + b)

= 2(90 + 60) = 2(150) = 300 yards

So we want another field having the same perimeter but a larger area.

Therefore, L = 7+ 3W

the perimeter = 438

2(L+W) = 438

by using substitution :

2(7+3W+W) = 438

2(4W+7) = 438

4W+7 = 438/2

4W+7 = 219

4W = 219-7

4W = 212

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Related Questions

x + 2x + 3x + 4x + 5x = 10 . Find x

Answers

Answer:

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Explanation:

x + 2x + 3x + 4x + 5x = 10

=> 15x = 10

=> x = 10/15

=> x = 2/3

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Answers

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if u want it solved,

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Answers

A geographical information system (GIS) is an information system that is used to manage data. They are also used to create and organize data. The total transaction amount can be used by the GIS to increase sales

From the attached table, we have the following data:

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Answers

Answer:

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Explanation:

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