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Klio2033 [76]
3 years ago
12

A rectangular restaurant kitchen has a perimeter of 54 meters. Its area is 162 square meters. What are the dimensions of the kit

chen?
Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0

Answer:

length = 18m

width = 9m

Step-by-step explanation:

a = lw

162 = lw

p = 2l + 2w

54 = 2l + 2w

27 = w + l

27 - w = l

162 = (27 - w)w

162 = -w² + 27w

-162 = w² - 27w

0 = w² - 27w + 162

0 = (w - 9)(w - 18)

9 = width

18 = length

a = (18)(9)

a = 162

27 = 18 + 9

27 = 27

Thus proves our answer.

Best of luck!

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6 ft 2 in. = _____ ft
kati45 [8]

Answer:

6.2 ft

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
24 Please help!!??!!!??
Dominik [7]
You can find the area of the entire shape by finding the area of one of the split shapes individually

Formula for Square Area:
Length*Width
6*6=36
The area of the square is 36 in squared

Formula for Right Triangle Area:
Leg A*Leg B/2 (The lines which form the Right Angle)
6*6/2
36/2=18
The area of the right triangle is 18 in squared

Formula for the Equilateral Triangle Area: 
Base * Height/2
6*6/2
36/2=18
The area of the equilateral triangle is 18 in squared

Now add all the sums up
36+18+18
=72

The total area of the shape is 72 in squared

Hope this helps!

7 0
3 years ago
13 points I meant to add his in the other one
REY [17]
15 people
8 older than 30
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over 30 and facial hair= 5/15
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8 0
4 years ago
3(x + 3) + 10
Sphinxa [80]

Answer:

b-3x+19

Step-by-step explanation:

you have to open the bracket so 3*x=3x

3*3=9

therefore;3x+9+10=3x+19

7 0
3 years ago
Read 2 more answers
At what corridnate point do y= 1/2 x + 4 and x + 4y = 4 intersect.
Viefleur [7K]

Answer:

(-4;2)

Step-by-step explanation:

1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;

2. if x+4y=4, it is possible to re-write it as x+4y-4=0;

3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.

4. if y=2, then it is possible to substitute its value into any equation given in the condition:

x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.

5. finally x= -4; y=2. It means (-4;2)

PS. the suggested solution is not the only way to resolve this task.

6 0
3 years ago
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