All categories

3 years ago

The length of a rectangle is 4cm longer than the width. The perimeter is 80 cm. Find the length and width.

Mathematics

2 answers:

Virty [35]3 years ago

8 0

Answer:

Width = 18 cm

Length = 22 cm

Step-by-step explanation:

A rectangle have 4 sides . Opposite side of a rectangle is equal in size . The sum of the whole sides of the rectangle is the perimeter.

perimeter of a rectangle = L + L + W + W

perimeter of a rectangle = 2L + 2W = 2(L + W)

perimeter = 80 cm

length(L) = (4 + W) cm

using the perimeter formula,

80 = 2(4 + W + W)

80 = 2(4 + 2W)

divide both side by 2

40 = 4 + 2W

40 - 4 = 2W

36 = 2W

W = 36/2

W =18 cm

since,

length = 4 + W

W = 18 cm

length= 4 + 18

length = 22 cm

Sphinxa [80]3 years ago

6 0

I think this is the answer: Length = l Width = w 2l + 2w = 80cm l+w = 40cm l = w+4 w+4 + w = 40cm 2w + 4 = 40cm 2w = 36cm w = 18cm l = 22cm

You might be interested in

Glen hiked 14 miles in 4 hours what was his average rate of speed and the formula to use

Anna [14]

Answer:

3.5 mph

Step-by-step explanation:

Average rate of speed

$= \frac{distance}{time} \\ \\ = \frac{14}{4} \\\\ = 3.5 \: miles \: per \: hour$

3 0

3 years ago

The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta

earnstyle [38]

Answer:

The probability that none of the meals will exceed the cost covered by your company is 0.2637.

Step-by-step explanation:

A hyper-geometric distribution is used to define the probability distribution of k success in n samples drawn from a population of size N which include K success. Every draw is either a success of failure.

The random variable X = number of meals that will exceed the cost covered by the company.

The random variable X follows a hyper-geometric distribution.

The information provided is:

N = 15

K = 3

n = 5

k = 0

The probability mass function of a hyper-geometric distribution is:

$P(X=k)=\frac{{K\choose k}{N-K\choose n-k}}{{N\choose n}}$

Compute the probability that none of the meals will exceed the cost covered by your company as follows:

$P(X=0)=\frac{{3\choose 0}{15-3\choose 5-0}}{{15\choose 5}}=\frac{1\times 792}{3003}=0.2637$

Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.

3 0

3 years ago

A box is full of buttons. The ratio of the red buttons to white buttons is 5 to 2. What does this mean?

Elanso [62]

B.for every 5 red buttons there are 2 white buttons

5 0

3 years ago

After writing part of his novel, Thomas is now writing 16 pages per week. After 4 weeks, he has written 85 pages. Assume the rel

d1i1m1o1n [39]

The initial value is 21 and rate of change is 16 pages per week

Solution:

Given that After writing part of his novel, Thomas is now writing 16 pages per week

After 4 weeks, he has written 85 pages.

Given that assume the relationship to be linear

Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + c

y = mx + c

where "y" is the number of pages written after 4 weeks

x = 4 weeks and m = 16 pages

Therefore,

85 = 16(4) + c

85 = 64 + c

c = 85 - 64

c = 21

Therefore, initial value is 21 and rate of change is 16 pages per week

7 0

3 years ago

The list of ordered pairs below represents a function.

PolarNik [594]

Answer:

{-8, 3, 4, 7}

Step-by-step explanation:

range is y values in the ordered pairs

{-8, 3, 4, 7}

4 0

2 years ago