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2 years ago

13

Eddie drew a scale drawing of a house and its lot. The scale of the drawing was 1 inch : 6 feet. If the actual width of the porc

h is 18 feet, how wide is the porch in the drawing?

1 answer:

dangina [55]2 years ago

5 0

Answer:

3 inches

Step-by-step explanation:

18/6=3

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A rectangle has a length 6 more than it's width if the width is decreased by 2 and the length decreased by 4 the resulting has a

Rashid [163]

Answer:

Length of original rectangle: 11 units.

$\frac{\text{Area of original rectangle}}{\text{Area of new rectangle}}=\frac{55}{21}$

$\text{Perimeter of new rectangle}=20$

Step-by-step explanation:

Let x represent width of the original rectangle.

We have been given that a rectangle has a length 6 more than it's width. S the length of the original rectangle would be $x+6$ .

We have been given that when the width is decreased by 2 and the length decreased by 4 the resulting has an area of 21 square units.

The width of new rectangle would be $x-2$ .

The length of new rectangle would be $x+6-4=x+2$ .

The area of new rectangle would be $(x+2)(x-2)$ .

Now we will equate area of new rectangle with 21 and solve for x as:

$(x+2)(x-2)=21$

Applying difference of squares, we will get:

$x^2-2^2=21$

$x^2-4=21$

$x^2-4+4=21+4$

$x^2=25$

Since width cannot be negative, so we will take positive square root of both sides.

$\sqrt{x^2}=\sqrt{25}$

$x=5$

Therefore, the width of original rectangle is 5 units.

Length of the original rectangle would be $x+6\Rightarrow x+5=11$ .

Therefore, the length of original rectangle is 11 units.

$\text{Area of original rectangle}=5\times 11$

$\text{Area of original rectangle}=55$

Therefore, area of the original rectangle is 55 square units.

Now we will find ratio of the original rectangle area to the new rectangle area as:

$\frac{\text{Area of original rectangle}}{\text{Area of new rectangle}}=\frac{55}{21}$

We know that perimeter of rectangle is two times the sum of length and width.

$\text{Perimeter of new rectangle}=2((x+2)+(x-2))$

$\text{Perimeter of new rectangle}=2((5+2)+(5-2))$

$\text{Perimeter of new rectangle}=2(7+3)$

$\text{Perimeter of new rectangle}=2(10)$

$\text{Perimeter of new rectangle}=20$

Therefore, the perimeter of the new rectangle is 20 units.

7 0

3 years ago

10. If a triangle has an angle of 45° and an angle of 100°, what is the third angle?

katrin [286]

Answer:

So, 35 degrees is your answer.

Step-by-step explanation:

180 - 100 - 45 = 35 degrees

Hope my answer has helped you!

4 0

3 years ago

Read 2 more answers

How many runners finished the race in under 13 minutes. <br><br> It's a 1.5 race.

Mazyrski [523]

Answer:

16 runners

Step-by-step explanation:

you have to add up all the runners that are under 13 minutes. Which is, 8+6+2 = 19 runners

7 0

2 years ago

A - (a)(a - c); use a = 6, and c = 6<br> Evaluate using the values given

pishuonlain [190]

Answer:

6-(6)(6-6) = 6

Step-by-step explanation:

6-6 is 0

6*0 is 0

6-0 is 6

6 is answer

6 0

2 years ago

Can you guys walk me through the teo questions ASAP

erma4kov [3.2K]

16. C. 0 means it is at sea level. The question is asking about the elevation of each of the places. 1.3 means the elevation is 1.3 km. If I am wrong than the only other possibility is A.

17. C.Our total will come in the beginning : e = . 40,000 is your base salary so he will get 40,000 no matter what. He also gets $200 per car and per is multiplying so 200 • c. That will be added to our base salary and our equation will be : e = 40,000 + 200 • c.
Hoped I helped!

4 0

3 years ago