All categories

2 years ago

The perimeter of a square is 100 feet and area is 625 square feet . what is the length of each side

Mathematics

2 answers:

Veronika [31]2 years ago

6 0

25 feet each. All you have to do is divide the perimeter by how many sides.

Lelechka [254]2 years ago

4 0

Answer:

25 feet.

Step-by-step explanation:

Given : The perimeter of a square is 100 feet .

The area is 625 square feet .

To Find: What is the length of each side?

Solution:

Let the side of square be x

Formula of perimeter of square = $4 \times side$

Perimeter of square = $4 \times x$

The perimeter of a square is 100 feet .

So, $100=4 \times x$

$\frac{100}{4}=x$

$25=x$

Area of square = $Side^2$

= $(25)^2$

= $625 ft^2$

The calculated area is same as the given area.

Hence the side of the square sis 25 feet.

You might be interested in

6x^2+x-12 in factored form

pychu [463]

6x²+x-12

the first thing we need to do is find 2 numbers that add up to equal the middle term (1) but multiply together to get a product of -72 (-12*6)

two numbers that would fit this is 9 and -8
so now we placed 9x and -8x in place of the middle term

6x²+9x-8x-12

now we look for whats common between the first two numbers and divide them out

6x²+9x = 3x(2x+3)

now we do the same with the last two numbers

-8x-12 = -4(2x+3)

notice how the numbers in brackets are the same (2x+3)
we will keep (2x+3) and then combine the numbers on the outside

once we do that you should get an answer of

(3x-4)(2x+3)

hope this helped!

5 0

2 years ago

The time it takes a student to walk from the dorm to the chemistry lab follows roughly a Normaldistribution with a mean of 20 mi

creativ13 [48]

Answer:

95.15%

Step-by-step explanation:

We have that the mean (m) is equal to 20, the standard deviation (sd) 3

They ask us for P (x <25)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / sd

We have all these values, replacing we have:

z = (25 - 20) / (3)

z = 1.66

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <1.66) = 0.9515

Which means that the probability that it arrives before 25 minutes is 95.15%

6 0

3 years ago

6) If the value of x in the above diagram equals 26, which of the following pairs of numbers does the solution fall between?

Sphinxa [80]

I am pretty sure it is D not sure though

6 0

2 years ago

Read 2 more answers

Can someone please answer this question? Btw the picture is upside down(I dont know why it is)

SCORPION-xisa [38]

Step-by-step explanation:

7e=the money she makes from earrings

13n=the money she makes from necklace

5 0

2 years ago

A rectangular plot of land is to be enclosed by a fence. One side is along a river, and does not need to be enclosed. If the tot

Bad White [126]

Answer:

Width 150 meters.

Length = 350 meters.

Step-by-step explanation:

Let us assume the width of the fence = k meters

So, both sides = k + k = 2k meters

Also, the TOTAL fencing length = 600 m

So, the one side length of the fence = (600 - 2 k) meters

AREA = LENGTH x WIDTH

⇒ A(k) = (600 - 2k) (k)

or, A = -2k² + 600 k

The above equation is of the form: ax² +bx + C

Here: a = - 2 , b = 600 and C = 0

As a< 0, the parabola opens DOWNWARDS.

Here, x value is given as: $x = \frac{-b}{2a}$

Solving for the value of k similarly, we get:

$k = \frac{-b}{2a} = \frac{600}{2(-2)} = 150$

Thus the desired width = k = 150 meters

So, the desired dimensions of the plot is width 150 meters.

And length = 650 - 2k = 650 - 300 = 350 meters.

5 0

2 years ago