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Alika [10]
2 years ago
14

The length of a rectangular room is 4 feet longer than twice the width. if the room's perimeter is 200 feet, what are the room's

dimensions?
Mathematics
2 answers:
Lera25 [3.4K]2 years ago
7 0
P = 2(L + W)
P = 200
L = 2W + 4

200 = 2(2W + 4 + W)
200 = 2(3W + 4)
200 = 6W + 8
200 - 8 = 6W
192 = 6W
192/6 = W
32 = W <== the width is 32 ft

L = 2W + 4
L = 2(32) + 4
L = 64 + 4
L = 68 <=== the length is 68 ft
Dovator [93]2 years ago
7 0
32 = w ----- the width is 32 feet


68 = L ------ the length is 68 feet
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slega [8]

Answer:

<u>The correct answer is C. 6, 8 and 9 inches.</u>

Step-by-step explanation:

1. Let's review all the information provided for answering the questions properly:

Length of the sides of the triangle = 12 feet, 16 feet and 18 feet.

Scale used : 1 inch = 2 feet.

2. How long should the sides of the triangle be in inches?

For calculating the length of the sides of the triangle in the draw, we use the scale this way:

1st Side = 12 feet

12 feet/2 = 6 inches

2nd Side = 16 feet

16 feet/2 = 8 inches

3rd Side = 18 feet

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<u>The correct answer is C. 6, 8 and 9 </u>

8 0
3 years ago
Please only answer if you're confident.
lina2011 [118]

Answer:  ∠B=70°

Step-by-step explanation:

It is shown in the diagram that ∠A and ∠B is vertical angles.

  • Vertical angle theorem: opposite angles are congruent.

<u>Solve:</u>

∠A=∠B

8x+6=4x+38

4x=32

x=8

<h2>∠B=4x+38=4(8)+38=32+38=70°</h2>
4 0
3 years ago
Read 2 more answers
What are the partial products to 32 x 405?<br> (35 points)
IrinaK [193]

Answer:

12960 is the answer happy to help

Step-by-step explanation:

7 0
3 years ago
Whats the surface area of the prism below,and please explain how you got the answer :)
nevsk [136]
Answer: 480 units^2



IN DEPTH EXPLANATION TO HELP YOU FOR FUTURE PROBLEMS:

Front:
b*h/2 = sa
12*5/2 = 30
Front = 30 units^2

Back:
b*h/2 = sa
12*5/2 = 30
Back = 30 units^2

Right:
w*l = sa
14*13 = 182 units^2
Right: 182 units*2
(figures out the length by using
pythagorean theorem)

Left:
w*l = sa
5*14 = 70 units^2
Left: 70 units^2

Bottom:
w*l = sa
12*14 = 168 units^2

ADD ALL THE UNITS:
168 + 70 + 182 + 30 + 30 = 480

4 0
3 years ago
What are the coordinates of the point on the directed line segment from (1, -5)(1,−5) to (10, 1)(10,1) that partitions the segme
Hitman42 [59]

Check the picture below.

\textit{internal division of a line segment using ratios} \\\\\\ A(1,-5)\qquad B(10,1)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(1,-5)=1(10,1)

(\stackrel{x}{5}~~,~~ \stackrel{y}{-25})=(\stackrel{x}{10}~~,~~ \stackrel{y}{1})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{5+10}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-25+1}}{1+5} \right)} \\\\\\ C=\left( \cfrac{15}{6}~~,~~\cfrac{-24}{6} \right)\implies C=\left(\cfrac{5}{2}~~,~~-4 \right)

5 0
1 year ago
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