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4 years ago

The length of a rectangle is 2 feet more than four times the width . The perimeter is 74 feet . Find the dimensions

Mathematics

1 answer:

sesenic [268]4 years ago

4 0

Answer: Length is 30 feet and width is 7 feet.

Step-by-step explanation: The dimensions of the rectangle are not given, but the clues given in the question are such that, if the width is W, then the length would be two feet more than four times the width. In other words, the length would be, two plus four times the width, which can be expressed as

2 + 4W. The perimeter given as 74 feet is calculated as

Perimeter = 2(L + W)

If perimeter equals 74, length equals 2 + 4W and width equals W, then the perimeter can be expressed as

74 = 2(2 + 4W + W)

74 = 2(2 + 5W)

74 = 4 + 10W

Subtract 4 from both sides of the equation

70 = 10W

Divide both sides of the equation by 10

W = 7

Hence, if the width is 7, the length would be calculated as

Length = 2 + 4W

Length = 2 + 4(7)

Length = 2 + 28

Length = 30.

Therefore the length equals 30 feet and the width equals 7 feet.

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Mr. Wilson's desk drawer contains 4 black, 3 blue, and 3 red pens. If he selects one pen a random, what is the probability that

gtnhenbr [62]

<h3>Answer: 3/5</h3>

Work Shown:

3 blue + 3 red = 6 pens that are either blue or red

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3 years ago

PHOTO ABOVE <br> (13x-57). (6x-10). Z. <br> Find the values of x and z

Lera25 [3.4K]

X=13 and z=112
you know that (13x-57) + (6x-10) = 180 since they are supplementary, so you will solve that. it will give you x=13. now that you know x, you can solve for z by plugging in 13 for x on 13(x)-57 since that and angle z are congruent. when you simplify, you will get z=112.
you can check your answer by doing (6x-10) +112=180. this is because they are supplementary. you should get x=13, and that is how you know you are right.

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3 years ago

Quan's last paycheck shows that he eamed $210.00 for 24 hours of work. What is his hourly rate of pay?

Mariana [72]

Answer:

8.57 explanation:

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3 years ago

Read 2 more answers

If an object is launched at an angle of 28° with an initial velocity of 133 ft./s from a height of 6 feet how many seconds will

Tema [17]

Answer:

Hence after 3.98 sec i.e 4 sec Object will hit the ground .

Step-by-step explanation:

Given:

Height= 6 feet

Angle =28 degrees.

V=133 ft/sec