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2 years ago

The length of a rectangular piece of land is 4ft more than two times its width. The perimeter is 32ft. find the dimensions

1 answer:

3 0

L = 2w + 4

p = 2w + 2L

32 = 2w + 2(2w + 4)

32= 2w + 4w + 8

24 = 6w

4 = w

Now,

p = 2w + 2L
32 = 2(4) + 2L
32= 8 + 2L
24 = 2L
12 = L

check
p= 2w + 2L
32 = 2(4) + 2(12)
32 = 8 +24
32 = 32

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2 years ago

You run 4and3/4 miles through a park each day if you ran that distance five times last week how many miles did you run

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23.75 miles, because you would take 4 and 3/4 (4.75) and multiply by 5 :)

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3 years ago

Sketch the algebra-tile shape at right on your paper. Write an expression for the

Dima020 [189]

Answer:

Part 1) $P=(4x+4)\ units$

Part 2)

a) $P=32\ units$

b) $P=26\ units$

c) $P=13\frac{1}{3}\ units$

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Part 1) Write an expression for the perimeter of the shape

we know that

The figure is composed by a larger square, a rectangle and a smaller square

1) The area of the larger square is given

$A=x^2\ units^2$

The length and the width of the larger square is x units

2) The area of the rectangle is given

$A=x\ units^2$

The length of the rectangle is x units and the width is 1 unit

3) The length and the width of the smaller square is x units

see the attached figure N 2 to better understand the problem

Find out the perimeter

The perimeter is the sum of all the sides.

$P=(x+x+x+x+1+1+1+1)$

$P=(4x+4)\ units$

Part 2) Find the perimeter for each of the given values of x.

a) For x=7 units

Substitute the value of x in the expression of the perimeter

$P=(4(7)+4)=32\ units$

b) For x=5.5 units

Substitute the value of x in the expression of the perimeter

$P=(4(5.5)+4)=26\ units$

b) For x=7/3 units

Substitute the value of x in the expression of the perimeter

$P=(4(\frac{7}{3})+4)=\frac{40}{3}=13\frac{1}{3}\ units$

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3 years ago

Please help me with a explanation

blagie [28]

Answer:

x = -3 or x = 3

Step-by-step explanation:

Subtract 9 from both sides.

x^2 - 9 = 0

Factor the left side. There is no common factor of the terms. It is a binomial which is the difference of two squares, so it factors into the product of a sum and a difference.

(x + 3)(x - 3) = 0

Set each factor equal to zero.

x + 3 = 0 or x - 3 = 0

Solve each equation.

x = -3 or x = 3

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3 years ago

If it is a 20% tip, is $95.40. What was the amount of the bill before the tip?

labwork [276]

Answer:

$114.48

Step-by-step explanation:

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3 years ago