All categories

2 years ago

The perimeter of a rectangle is 80x. The base is two times the height. In terms of x, what are the dimensions of the rectangle?

2 answers:

5 0

By definition we have that the perimeter of a rectangle is given by:
P = 2b + 2h
Where,
b: base
h: height
Also, as a data of the problem we have:
base is two times the height:
b = 2h
Substituting we have:
P = 2 (2h) + 2h
Clearing h:
6h = P
h = P / 6
h = (80x) / 6
h = (40/3) x
The base will be
b = 2h
b = (80/3) x
Answer:
the dimensions of the rectangle are
b = (80/3) x
h = (40/3) x
b. h = 13.3x; b = 26.6x

arlik [135]2 years ago

5 0

Answer:
<span>h = 13.3x; b = 26.6x
</span>
Explanation:
Perimeter of the rectangle = 2(base+height)
80x = 2(base+height)
base + height = 40x ........> I

Now, we are given that the base is 2 times the height, this means that:
base = 2*height ..........> II

Substitute with II in I:
base + height = 40x
2*height + height = 40x
3*height = 40x
height = 13.3x

Substitute with the height in equation II to get the base as follows:
base = 2*height
base = 2 * 13.3x = 26.6x

Hope this helps :)

You might be interested in

BRAINLIESTT ASAP! PLEASE HELP ME :)

Arte-miy333 [17]

Answer:

Idk sry

Step-by-step explanation:

5 0

3 years ago

Elaine and Rocco shared a bag of popcorn Rocco are 5/8 of the bag Elanie ate 1 3/8.how much popcorn did Elanie and Rocco eat in

amid [387]

2 bags, because when you add 5/8 and 1 3/8 you get 1 8/8 which is really 2

7 0

3 years ago

Please no links and help me answer!!

12345 [234]

7: the answer is C because 3/4 divided by 2/3 equals 1 1/8 and C if you multiply 3/4 x 3/2 it equals 1 1/8

14: the answer is 18 because if you add all the numbers they picked you’ll get 6 then divide it by 1/3 you’ll get 18

Then the other 2 km not sure I’m sorry

8 0

3 years ago

Read 2 more answers

2 taps A and B can fill a swimming pool in 3 hours. If turned on alone, it takes tap A 5 hours less than tap B to fill the same

vazorg [7]

Answer:

Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.

Step-by-step explanation:

Let tap B fills the pool alone in the time = x hours

So in one hour part of pool will be filled = $\frac{1}{x}$

Another tap A when turned on, it takes time to fill the pool = x-5 hours

So in one hour part of the same pool filled = $\frac{1}{x-5}$

Now both the taps A and B are turned on then time taken to fill the pool = 3 hours.

Part of the pool filled in one hour by both the taps = $\frac{1}{3}$

Now we form an equation

Part of pool filled in one hour by tap A + Part of pool filled in one hour by tap B = Part of pool filled in one hour by both the taps when turned on

$\frac{1}{(x-5)}+\frac{1}{x}=\frac{1}{3}$

$\frac{x-5+1}{x(x-5)}=\frac{1}{3}$

$\frac{x-4}{x(x-5)}=\frac{1}{3}$

3(x - 4) = x(x - 5)

x² -5x = 3x - 12

x² - 8x + 12 = 0

x² - 6x - 2x + 12 = 0

x(x - 6) - 2(x - 6) = 0

(x -2)(x - 6) = 0

x = 2, 6 hours

We will take higher value of x as x = 6 hours for tap B.

Time taken by tap A = 6 - 4 = 2 hours.

Therefore, Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.

4 0

3 years ago

Answer worth 20 points!

Alinara [238K]

Answer: medium 18. Range 6 ,25th percentile 17 , 75th percentile 20 ,IQR 3

Step-by-step explanation from the given figure, median is equal to 18, the range is equal to 21-15 equal to 6. The 25th percentile is equal to17 while the 75th is equal to 20. IQR then is equal to 20-17 equal to 3.

3 0

2 years ago