Ask question

Ask question

All categories

2 years ago

14

Dania has laid out floor tiles so they form a rectangle with a perimeter of 18 inches. What is the difference between the greate

st and least possible area of the rectangle?

1 answer:

sergeinik [125]2 years ago

5 0

The difference is 12

first we should find out how much is the sum of length and width :
$18 \div2 = 9$
so we have to find 2 numbers with sum of 9
and least possible area.
the numbers will be 1,8 and the area is
$1 \times 8 = 8$

now let's find 2 numbers with sum of 9 and greatest possible area.
they are 4 and 5. the area is:
$4 \times 5 = 20$

the final answer will be the difference between these two areas
$20 - 8 = 12$

good luck

You might be interested in

The regular price rounded to the nearest cent

Daniel [21]

Answer:

$189.43

Step-by-step explanation:

To find the original price, write a proportion. In your proportion, write one ration that has sale price over original price. The other ratio should be written with the corresponding percent values. Since the sale price is 65% off then you paid 35% of the regular the price. The proportion should be:

$\frac{66.30}{x}= \frac{35}{100}$

To solve cross multiply numerator and denominator of each fraction.

66.30(100) = x(35)

6630 = 35x

189.43 = x

This means the regular price is $189.43.

3 0

2 years ago

Round each factor to the nearest ten and estimate the product of 12(22)

Alex73 [517]

Step-by-step explanation:

12 is rounded to 10

22 is rounded to 20

20×10= 200

3 0

3 years ago

Plz help will give brainliest!!

cluponka [151]

Answer:

66 R30

Step-by-step explanation:

:) :) :/ probably wrong

8 0

2 years ago

Read 2 more answers

Please help me! I’ll mark you as the brainiest but please don’t answer if you don’t know it

Xelga [282]

Answer:

x > 7

Step-by-step explanation:

If you look at the changes in degrees, you will see it get bigger on the bottom! That means the 7 will become smaller! Your Welcome!

8 0

2 years ago

Read 2 more answers

Jay factored the 4 term polynomial : x^3 - 9x +2x^2 - 18 and decided that the complete factorization was : ( x + 2 ) (x^2-9 ). B

labwork [276]

Answer:

$x^3-9x+2x^2-18\left(x+2\right)\left(x+3\right)\left(x-3\right)$

Step-by-step explanation:

we are given that $x^3-9x+2x^2-18$

w are sked to step by step factorise the above polynomial

$\left(x^3+2x^2\right)+\left(-9x-18\right)$

$-9\mathrm{\:from\:}-9x-18\mathrm{:\quad }-9\left(x+2\right)$

$-9x-9\cdot \:2$

$-9\left(x+2\right)$

$\mathrm{Factor\:out\:}x^2\mathrm{\:from\:}x^3+2x^2\mathrm{:\quad }x^2\left(x+2\right)$

$-9\left(x+2\right)+x^2\left(x+2\right)$

$\left(x+2\right)\left(x^2-9\right)$

$x^2-9:\quad \left(x+3\right)\left(x-3\right)$

$x^2-9$

$\mathrm{Rewrite\:}9\mathrm{\:as\:}3^2$

$=x^2-3^2$

$\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)$

$x^2-3^2=\left(x+3\right)\left(x-3\right)$

Hence

$x^3-9x+2x^2-18=\left(x+2\right)\left(x+3\right)\left(x-3\right)$

a) The jay mistake was he did not factorise $x^3-9x+2x^2-18x^2-9 furtherb) the complete answer wil be [tex]x^3-9x+2x^2-18\left(x+2\right)\left(x+3\right)\left(x-3\right)$

8 0

3 years ago

Read 2 more answers