All categories

2 years ago

The area of a rectangular playground is 16 square yards. The length of the playground is 4 times longer than

Mathematics

1 answer:

Alexxandr [17]2 years ago

3 0

length = 8 yd and width = 2 yd

So, Option D is correct.

Step-by-step explanation:

Area of rectangular playground = 16 square yards

Width of playground = w

Length of playground = l = 4w

We need to find length(l) and width(w)

The formula used is:

$Area = Length * Width$

Putting values:

$Area = Length * Width\\16=4w*w\\16=4w^2\\w^2=\frac{16}{4}\\w^2=4\\Taking\,\,square\,\,root:\\\sqrt{w^2}=\sqrt{4}\\ w=\pm 2$

Since width of rectangle is always positive, so we will take w = 2

So. Width = 2

Length = 4w = 4(2) = 8

Hence, length = 8 yd and width = 2 yd

So, Option D is correct.

Keywords: Area of rectangle

Learn more about Area of rectangle at:

#learnwithBrainly

You might be interested in

In a research laboratory, a scientist measures the mass of a 1-carat diamond and finds it to be 200 milligrams, measured to the

vlada-n [284]

Answer:

$D=3.5\ gr/cm^3$

Step-by-step explanation:

<u>Density</u>

The density of an object of mass m and volume V is given by

$\displaystyle D=\frac{m}{V}$

It can be expressed in common units like $gr/lt, Kg/m^3, gr/cm^3$ or any other combination of proper mass [M] by volume [V] units.

The data provided in the question is

$m=200\ mg = 0.2\ gr$

$V=0.057\ cm^3$

Thus, the measured density is

$\displaystyle D=\frac{0.2\ gr}{0.057 \ cm^3}$

$\boxed{D=3.5\ gr/cm^3}$

We have expressed the result with 1 decimal place because the mass was measured to the nearest hundred milligrams (or one-tenth grams). Any further decimal is senseless because that precision comes from calculations, not from measurements.

6 0

2 years ago

The length of a rectangle is 3 meters more then the width the perimeter of ractangle is 26 meters

Fudgin [204]

Answer:

Step-by-step explanation:

Let's say the width is x. If the length is 3 meters more than the width, the the length is x+3.

A rectangle has 4 sides. 2 widths and 2 lengths. If the perimeter is 26 meters, you can plug in your expressions for the width and the length to solve for x.

2(x+3) +2(x)=26

2x+6+2x=26

4x+6=26

4x=20

x=5.

If x=5, that means that your with is 5 meters, and your length is 8 meters (5+3)

5 0

2 years ago

Find the values of x and y

ANTONII [103]

Answer:

x = 90 y = 45

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Company has 189 employees that share an office that has 32 floors. If they built another building for 50 employees, how high sho

iris [78.8K]

Answer:

8 floors

Step-by-step explanation:

The number of employees is directly proportional to the number of floors that each building has.

The first building has 32 floors and it occupies 189 employees. Therefore:

189 α 32

=> 189 = k * 32 = 32k

where k = constant of proportionality

=> k = 189/32

The new building has 50 employees, therefore:

50 = kN

where N = number of floors

=> 50 = 189/32 * N

N = (50 * 32) / 189 ≅ 8 floors

The new building should have 8 floors

5 0

2 years ago

If the theoretical probability of a event occurring is 5/7 what is the theoretical probability of the event not occurring

IgorC [24]

2/7 of a chance of it not occurring

3 0

2 years ago

Read 2 more answers