All categories

3 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]3 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

4. What number is 5 more than 3? Show how you calculated your answer. 8 16

Airida [17]

Answer:

Step-by-step explanation:

To find one part of five, divide 21 by 3, which gives you 7. Now multiply that 7 by five (to give you the full five parts) and you get 35.

8 0

3 years ago

Read 2 more answers

Please find the area

DENIUS [597]

Answer: 55

Explanation:
Find the area of the entire shape: 7x9=63
Find the area of the missing piece: 8
7-3=4 9-5=4 4x4=16 16/2=8
Find the area: 63-8=55

3 0

3 years ago

Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. how high

bezimeni [28]

Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.

So if D is the diameter and h is the height of the conical pile then we can write:

D=3h

We know that diameter = 2r, where r is the radius

2r=3h

$r=\frac{3h}{2}$

Volume of conical pile is given by formula

$V=\frac{1}{3}\pi r^2h$

Given that volume is 1110 cubic feet.

Now plug the values of Volume and r into equation of volume

$1110=\frac{1}{3}\pi (\frac{3h}{2})^2h$

$1110=\frac{1}{3}\pi\cdot\frac{9h^2}{4}\cdot h$

$1110=\pi\cdot\frac{3h^3}{4}$

$1110\cdot\frac{4}{3\pi}=h^3$

$471.098631552=h^3$

take cube root of both sides

7.78103342467=h

Hence height is approx 7.78 feet.

7 0

3 years ago

Can someone simply <br> 1.8y-9.3y-6.3y

Olenka [21]

Answer:

your answer would be -13.8y

3 0

3 years ago

In the figure above, what is the area of triangle QRS?

Vlad [161]

Answer:

D) 20.

Step-by-step explanation:

First find the value of x using Pythagoras theorem:

10^2 = x^2 + (2x)^2

5x^2 = 100

x^2 = 20

x = √20

= 2√5.

So the area of triangle

= 1/2 * base * height

= 1/2 * 2x * x

= x^2

= (2√5)^2

= 20.

6 0

2 years ago