MATHEMATICS HIGH SCHOOL

A rectangular garden has a perimeter of 578 yds.The length is one more than three times the width.
Find the dimensions of the garden.

Answers

Answer 1
Answer:

Answer:

Width (w) = 72 yds

Length (L) = 217 yds

Step-by-step explanation:

Let L represent the length.

Let w represent the width.

From the question given above:

Perimeter (P) = 578 yds.

Length (L) is one more than three times the width (w). This can be written as. Follow:

three times the width (w) = 3w

Therefore, the length (L) is given by:

L = 1 + 3w

Next, we shall determine the value of length (L) and width (w). This can be obtained as follow:

Recall:

Perimeter of rectangle is given by:

P = 2(L + w)

P = 2L + 2w

Perimeter (P) = 578 yds.

Length (L) = 1 + 3w

Width (w) = w

P = 2L + 2w

578 = 2(1 + 3w) + 2w

Clear bracket

578 = 2 + 6w + 2w

578 = 2 + 8w

Collect like terms

578 - 2 = 8w

576 = 8w

Divide both side by 8

w = 576/8

w = 72

Therefore, the width is 72 yds

L = 1 + 3w

w = 72

L = 1 + 3(72)

L = 1 + 216

L = 217

Therefore, the length is 217 yds.

The dimensions of the garden is given below:

Width (w) = 72 yds.

Length (L) = 217 yds.

Related Questions

The teacher separated her class of twenty -eight students into two groups. One group has 4 more than twice as many students as the other group. how many students are in each group?
(2ײ -׳-18ײ-7÷(×+2) i need solution and explanation​
Decomposers could be considered a special kind of consumer. Why??
Which best names the quantity 1/2 in the linear equation shown? y=-2x+1/2A) The y intercept B) The slope C) The dependent variable D) The x-intercept
Dilate the figure with the origin as the center of dilation. (x,y) → (0.5x, 0.5y)​

At 60 days the height of a sunflower is 205 cm. If the growth rate is 2 cm per day after the first 60 days, write an expression to represent the sunflower's

Answers

h=205+2*d
(h=height of sunflower/d=number of days passed)

1+4=5 2+5=12 3+6-21 8+11=

Answers

I hope you don't mind, but I've answered this several times in the past two weeks, so I'm just copying my previous answer from the last time this question was asked:

This is a common math problem. There are two ways to answer this question but both will give you the same answer. There is a misconception that this can also equal 40. If someone posts that the answer is 40, please let me know and I will explain why that is not actually the answer.

1+4=5 
2+5=12
3+6=21
8+11=

These equations are actually:

1*(4+1)=5
2*(5+1)=12
3*(6+1)=21
8*(11+1)=96

Therefore:
8+11 = 96
Ok so here is how this question breaks down.

1(4+1)

2(5+1)=12

3(6+1)=21

8(11+1)=96

Hope this helps!

What is .73 repeating as a fraction

Answers

Answer:

The decimal 0.73 repeating is equal to 73/99

Step-by-step explanation:

This is because the repeating 3 is in the hundredths place, so we put it over 99

Calculate cos theta to two decimal places

Answers

Answer:

B. 0.72

Step-by-step explanation:

In order to find the answer we need to use the following formula:

a^2=b^2+c^2-2bc*cos(\theta) where:

a, b, c are the length of the sides and \theta the angle, so:

7^2=10^2+8^2-(2*10*8)*cos(\theta)

49=164-(160)*cos(\theta)

cos(\theta)=0.71875

In conclusion, cos(\theta)=0.72, so the answer is B.

Madison wants to buy a car for $9000. She will borrow money and repay the total in 3 years. The required monthly payment on her credit card would be $300. The monthly payment for a personal loan would be $278. How much money would Madison save if she chose the personal loan instead of the credit card?

Answers

Madison would save $264 if she chose the personal loan

A hallway measuring 90 feet x 7 feet requires 1/2 a fluid oz of cleaning solution per sq ft. How much cleaning solution is needed to clean the hallway?

Answers

You want area of the floor to know how many square feet you have 90x7=630 630sq. ft of floor and it takes 1/2 an oz to clean one of them 630(1/2)=315oz
Other Questions
How can you quickly calculate 20 percent of any bill amount?
2% of 105 is taxed find the value of the tax
Four out of every five teenagers surveyed went to a movie theater in the past month. If 95 teenagers were surveyed, how many had gone to the movies in the past month?
How to find the reference angle of -11pi/3 ?