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4 years ago

The length of a rectangle is 4 less than 3 times the width. Perimeter is 40 inches.What is the area of the rectangle?

Mathematics

1 answer:

Hatshy [7]4 years ago

8 0

Answer:

Area = 84 in²

Step-by-step explanation:

In order to find the area of the rectangle, you need to first set up an equation to find the length based on the information already given in the problem. Since the perimeter = 40 and the formula to find perimeter of a rectangle is: P = 2W + 2L, where W = width and L=Length, we can solve for 'L' by putting in the values given:

P = 2W + 2L or 40 = 2W + 2(3W - 4)

The length of the rectangle is '4 less than 3 times the width'. This can be written as the expression '3W - 4'.

Distribute: 40 = 2W + 2(3W - 4) or 40 = 2W + 6W - 8

Combine like terms: 40 = 8W - 8

Add '8' to both sides: 40 + 8 = 8W - 8 + 8 or 48 = 8W

Divide both sides by '8': 48/8 = 8W/8 or 6 = W

Solve for L: 3W - 4 or 3(6) - 4 = 18 - 4 = 14

Since L=14 and W = 6, we can solve for Area using the formula: A = LxW or A = (14)(16) = 84in².

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Lana cuts 2 pieces for every 7 inches from a dowel for a craft project, for a total of 7 pieces

IgorC [24]

Answer: dowel is 24.5 long

Step-by-step explanation:

If Lana cuts 2 pieces of every 7 inches from dowel that means each piece is of 3.5 inches, and she needs total 7 pieces for a project so;

3.5*7=24.5

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3 years ago

An equation of a parabola with its vertex at (-3,2) and focus at (-3,-1) written in general equation form

german

<span> we have that
standard form of equation for parabola:
(x-h)^2=-4p(y-k)
(h,k) --------->being the (x,y) coordinates of the vertex.
Parabola opens downwards because focus is below vertex on the axis of symmetry.
For given problem:
</span><span>vertex: (-3,2)
axis of symmetry: x=-3
p=distance from vertex to focus on the axis of symmetry=2-(-1)=3
4p=12
Directrix: y=2+p=5
Equation:
(x+3)^2=-12(y-2)

the answer is </span>(x+3)^2=-12(y-2)

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3 years ago

What is the expected lifetime income for a surgeon if the work from age 26 to 65?

Lina20 [59]

Step-by-step explanation:

u have to subtract 65 off of 25

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3 years ago

Read 2 more answers

If 25 cm' of a quantity of marbles has a mass of 45 g, calculate the density of the marble in kg/m

Elena-2011 [213]

The density of the marble will be "0.18 kg/m³".

According to the question,

Volume of marbles,

V = 25 cm³

By converting it into m, we get

0.25 m³

Mass,

M = 45 g

By converting it into kg, we get

0.045 kg

As we know, the formula:

→ $Density = \frac{Mass}{Volume}$

By substituting the values, we get

→ $= \frac{0.045}{0.25}$

→ $= 0.18 \ kg/m^3$

Thus the answer above is correct.

Learn more about density here:

brainly.com/question/15553857

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3 years ago

Aileen is a salesperson at Lopez Sporting Goods. She is paid a monthly commission on all Little League uniforms she sells. She r

spayn [35]

The total value of the uniform Aileen sold is x= 2260 on monthly Commission sells.

Given,

Let us assume the all little League uniform = x

Aileen first commission 10% of 2000$ in sales.

Aileen Second Commission 12% of (x-2000)$

Total Commission Aileen Earner = 10% ×2000 + 12% × (x-2000)

231.2 = 0.1× 2000 + 0.12× (x-2000)

231.2 = 200 + (0.12x - 240 )

231.2 = 200 + 0.12x - 240

After Transformation, we get

0.12x = 231.2 - 200 +240

0.12x = 271.2

x = 271.2/.12

x = 2260

Aileen Sell the total value of Lopez Sporting Goods Uniform is 2260.

So the final Answer is x = 2260$.

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1 year ago