All categories

2 years ago

A rectangular bathroom mirror has a perimeter of 22 feet. Its area is 18 square feet. What are the dimensions of the mirror?

Mathematics

1 answer:

ad-work [718]2 years ago

4 0

Answer:

The dimensions of the mirror is 9 feet and 2 feet

Step-by-step explanation:

Keep in mind that the area and perimeter of a rectangle is:

Area - length x width

Perimeter - 2 (l + w)

List the factors of 18 (the area of the mirror):

1, 2, 3, 6, 9, 18

POSSIBLE DIMENSIONS OF MIRROR:

1 ft and 18 ft

Area = 18 ft^2

Perimeter = 38 feet

2 ft and 9 ft

Area = 18 ft^2

Perimeter = 22 feet

3 ft and 6 ft

Perimeter = 18 feet

The rectangle with dimensions 2 feet and 9 feet corresponds with the area and perimeter of the mirror mentioned. So those are the correct dimensions.

Hope these helps!

You might be interested in

To estimate rhe difference below,would you round the numbers to the nearest ten, nearest hundred, or nearest thousand?explain. 8

iogann1982 [59]

To the nearest thousand, because when you are estimating numbers, you always round to the nearest higher place (like the nearest tenth if comparing 26 and 18).

4 0

3 years ago

Hakim deposited $50 in a saving account earning 10% interest, compounded annually . To the nearest cent , how much interest will

Paraphin [41]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$50\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}$

$\bf A=50\left(1+\frac{0.10}{1}\right)^{1\cdot 2}\implies A=50(1.1)^2\implies A=60.5 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{earned interest}}{60.5 - 50\implies 10.5}~\hfill$

7 0

3 years ago

Read 2 more answers

The graph shows the cost per pound for bananas

kenny6666 [7]

Answer:

wheres the graph

Step-by-step explanation:

it's not theree

6 0

2 years ago

Terms whose variables are the same are called what?

Ostrovityanka [42]

They are called like terms

8 0

3 years ago

Find the values of x and y.

kupik [55]

Answer:

x=6, y=75

Step-by-step explanation:

Since the diameter of the circle is a perpendicular bisector to the chord, x and 6 must be equal and therefore x=6. It also bisects the arc, meaning that y=75. Hope this helps!

4 0

3 years ago