All categories

3 years ago

Rectangular field has a total perimeter of 128 feet. The width is

Mathematics

2 answers:

Norma-Jean [14]3 years ago

8 0

Answer:

l = 44 ft

w = 20 ft

Step-by-step explanation:

Perimeter is

P = 2 ( l+w)

The width is

w = l -24

We know the perimeter is 128 and substituting into the equation for perimeter

128 = 2 ( l + l-24)

128 = 2 ( 2l -24)

Divide by 2

128/2 = 2/2 ( 2l-24)

64 = 2l - 24

Add 24 t o each sdie

64+24 = 2l

88 = 2l

Divide by 2

44 =l

The length is 44

Now find w

w = l - 24

w = 44-24

w = 20

Scrat [10]3 years ago

6 0

Answer:

$\boxed{l=44 \: \mathrm{feet}, \: \: w=20 \: \mathrm{feet}}$

Step-by-step explanation:

The width (w) = l - 24

The length (l) = l

The perimeter (P) = 128

The shape is a rectangle. Use the formula for the perimeter of a rectangle.

P = 2w + 2l

Plug in the values.

128 = 2(l - 24) + 2l

Solve for l.

Expand brackets.

128 = 2l - 48 + 2l

Combine like terms

128 = 4l - 48

Add 48 on both sides.

176 = 4l

Divide both sides by 4.

44 = l

Apply formula again.

P = 2l + 2w

Solve for w.

Subtract 2w and P on both sides.

-2w = 2l - P

Divide both sides by -2.

w = -l + P/2

Plug in the values for l and P, solve for w.

w = -(44) + 128/2

w = -44 + 64

w = 20

The length is 44 feet.

The width is 20 feet.

You might be interested in

You throw a water balloon straight up with a velocity of 14 m/s. What is it’s max height?

Kay [80]

Answer:

$y_m_a_x=10m$

Step-by-step explanation:

The max height of an object can be calculated using one the basic projectile motion equations:

$y_m_a_x= \frac{v^2*sin^2(\theta)}{2g}$

Where:

$g=Gravitational\hspace{3}constant\\v=Velocity\hspace{3}of\hspace{3}the\hspace{3}object\\\theta=Launch\hspace{3}angle$

In this case, let's asumme g=9.8m/s^2, besides θ=90, because the water ballon was threw straight up, so:

$y_m_a_x= \frac{v^2*sin^2(\theta)}{2g}=\frac{(14^{2})*sin^2(90) }{2*9.8}=\frac{196*1}{19.6}=10m$

5 0

3 years ago

WILL CROWN BRAINLIEST, THANKS, AND RATING!!!

Goryan [66]

A quadratic has a squared term...causing the shape of a parabola, a U shape because both positive and negative x's squared end up being the same number. real world situation a quadratic could be used to track the height of a launched object. An exponential has the variable in the exponent, causing the y to grow or decay increasingly quickly or increasing slowly real world example: banks use interest, over months or years.Each time the interest is applied, it is applied to a new and bigger total

7 0

3 years ago

The gas tank of a Mauer holds 5 L of gas how many 5 L castings can you feel from a bowl 20 L gas can

Grace [21]

20= 5 times as many fill ups divide both sides 5 20/5=5/5 times how many fill ups 4=1 how many fill ups so it’s 4 tanks

6 0

3 years ago

You purchase a cell phone for $125. the value of the cell phone decreases by about 20% annually. write a function at models the

djverab [1.8K]

F(x)=125-(125*0.2x)
to find the value of the phone after 3 years, you put x=3.
f(3)=125-(125*0.2(3))
f(3)=50

5 0

4 years ago

PLEASE HELP!!!!!!!!

Kitty [74]

32 cm long

15 cm wide

6 cm tall

The surface area is the sum of the area of all six sides

Two sides are 32 x 15

Two sides are 15 x 6

Two sides are 6 x 32

32 x 15 = 480

15 x 6 = 90

6 x 32 = 192

Surface area = 2(480) + 2(90) + 2(192) = 960 + 180 + 384 = 1524 cm2

7 0

3 years ago

Read 2 more answers