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kotykmax [81]
3 years ago
8

the length of a rectangle is three times it’s width. if the area of the rectangle is 300 yd^2, find its perimeter.

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

Answer:

80 yards

Step-by-step explanation:

Using the area formula, A = lw, set up an equation where w represents the width.

The length can be represented by 3w because it is 3 times the width:

A = lw

300 = (3w)(w)

300 = 3w²

Solve for w:

300 = 3w²

100 = w²

10 = w

So, the width is 10 yards.

The length will be 30 yards since the length is 3 times the width.

Then, add the lengths and widths together to find the perimeter:

10 + 10 + 30 + 30

= 80

So, the perimeter is 80 yards

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19
nadya68 [22]

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

<h3>What is Area ?</h3>

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

To know more about Area

brainly.com/question/27683633

#SPJ1

4 0
1 year ago
What is a problem that requires adding one two the quotient
Nikolay [14]

division problem

In a division problem, the number being divided into pieces is the dividend. The number by which the dividend is divided is called the divisor. And the answer to the division problem is the quotient.

6 0
2 years ago
Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th
Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 21-1 = 20.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have T = 2.528

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{0.40}{\sqrt{21}} = 0.0873

Now, we multiply T and s

M = 2.528*0.0873 = 0.2207

Then

The lower end of the interval is the mean subtracted by M. So:

L = 3.27 - 0.2207 = 3.0493

The upper end of the interval is the mean added to M. So:

LCL = 3.27 + 0.2207 = 3.4907

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

7 0
2 years ago
NEED HELP PLS
AnnZ [28]

Answer:

First

Step-by-step explanation:

The first person in the line will always have an odd position, not an even one.  They will be the only one left.

6 0
3 years ago
What is the square root of 6 divided by root 456 multiplied by 23
irakobra [83]

Answer:

0.30263157894493828288

5 0
3 years ago
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