All categories

4 years ago

A rectangle with an area of 192 square meters has a length and width in a ratio of 3:1. What are the length and width?

Mathematics

1 answer:

yuradex [85]4 years ago

6 0

Hey there! :)

Answer:

Length = 24 meters.

Width = 8 meters.

Step-by-step explanation:

Recall that to find the area of a rectangle, the formula is as shown:

A = l × w

In this case, the length is 3 times the length of the width, or 3 : 1.

Let w = width, and

3w = length.

Find the value of w by plugging in these values into the equation:

192 = 3w · w

192 = 3w²

Divide both sides by 3:

64 = w²

Square root both sides:

w = 8 meters. This is the width.

The length is equivalent to 3w, so:

3(8) = 24 meters.

You might be interested in

Which year was the hottest? How do you know?

Kay [80]

You have to convert the fraction so the bottom number is 100
1900: 14/25=56/100
1910: 29/50=58/100
1920: 53/100
1930: 13/20= 65/100
1940: 3/5=60/100

Your answer would be 1930: 13/20= 60/100

6 0

3 years ago

PLEASE HELPP Write the equation of the line fully simplified slope-intercept form.

Mkey [24]

The answer will be: Y = -2/5x - 4

Slope intercept form: y= Mx+b

You find the slope (M) using: rise/run formula
You find (b) by looking at the y-intercept

4 0

3 years ago

Is this equation an identity? (2x+1)^2-(x+1)^2=3(x+1)^2-1

sergey [27]

Answer:

See below, please

Step-by-step explanation:

Left side

${(2x + 1)}^{2} - {(x + 1)}^{2}$

$= (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)$

$= (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )$

$= 3 {x}^{2} + 2x$

Right side

$3 \times {(x + 1)}^{2} - 1$

$= 3 \times ( {x}^{2} + 2x + 1) - 1$

$= 3 {x}^{2} + 6x + 3 - 1$

$= 3 {x}^{2} + 6x + 2$

After compared with both sides, we can make a conclusion that

This equation isn't an identity.

6 0

2 years ago

Darren has gotten 2 offers for jobs in the alternative energy industry. offer #1 pays $31,000 per year with 2,000 raise each yea

katovenus [111]

Answer: Darren

A) Job Offer #1 would be better financially until job offer 2 (in 12 years) would be a better and have more income, so IMO job offer #1 would set you better off financially

B) it would take 12 years for job offer #2 to become a better offer (you can also express this in your own words if needed)

6 0

4 years ago

Which number line correctly shows 0.8 +0.3?

finlep [7]

Answer:

the second diagram is the answer

3 0

3 years ago

Read 2 more answers