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2 years ago

A model of a house is shown. what is the perimeter in units of the model? To receive brainliest show all your work.

Mathematics

1 answer:

Vesnalui [34]2 years ago

5 0

Answer:

The perimeter in units of the model is $(86x+24)\ units$

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the perimeter of the rectangle plus the the length sides of the legs of the isosceles triangle

$P=2(17x+8)+2(21x+5)+2(5x-1)\\ \\P=(34x+16)+(42x+10)+(10x-2)\\ \\P=(86x+24)\ units$

You might be interested in

The area of one rectangle is twice the area of another. What is the ratio of their perimeters

Veronika [31]

Answer:

The answer is 8 units! Hope this helps!

Step-by-step explanation:f the length of any one side of the square is x, then the area is x2, and the perimeter is 4x. If the area is twice the perimeter, x2 = 2(4x), and x2 − 8x= 0. By factoring, we see this equation is equivalent to x(x − 8) = 0, which has solutions 0 and 8. The length cannot be 0, so it must be 8 units.

6 0

3 years ago

victor are 60 de lei si merge la florarie pentru a-i cumpara mamei sale un buchet de flori. daca ar cumpara 9 garoafe si 4 trand

Alja [10]

Answer:

Număr de trandafiri = x = 5 trandafiri

Numărul este garoafe = y = 8 garoafe

Step-by-step explanation:

Pasul 1

Să reprezentăm:

Costul garoafelor = c

Costul trandafirilor = r

Victor are 60 de lei și merge la florărie să-i cumpere mamei sale un buchet de flori.

Dacă ar cumpăra 9 garoafe și 4 trandafiri, ar plăti 47 de lei.

Prin urmare,

9c + 4r = 47 ..... Ecuația 1

Dacă ar cumpăra doar trandafiri, toți banii ar fi suficienți pentru 12 bucăți.

Prin urmare,

12 trandafiri = 60 lei

1 trandafir = r lei

Cross Multiply

12r = 60 lei

r = 60 lei / 12

r = 5 lei

1 trandafir costă 5 lei

Înlocuim 5 cu r în ecuația 1

9c + 4 × 5 = 47

9c + 20 = 47

Colectează ca termeni

9c = 47 - 20

9c = 27

c = 27/9

c = 3 lei

Costul unei garoafe este de 3 lei

Pasul 2

Dar cumpără 13 flori (garoafe și trandafiri) și rămâne cu 5 lei rămași,

60 lei - 5 lei = 55 lei

Asta înseamnă că a cheltuit 55 de lei pe 13 flori.

Lasă

Număr de trandafiri = x

Numărul este garoafe = y

x + y = 13 ......... Ecuația 1

x = 13 - y

Din moment ce, Costul unei garoafe = 3 lei și 1 trandafir = 5 lei

3x + 5y = 55 ...... Ecuația 2

Înlocuim 13 - y cu x în ecuația 2

3x + 5y = 55

3 (13 - y) + 5y = 55

39 - 3y + 5y = 55

Colectează ca termeni

- 3y + 5y = 55 - 39

2y = 16

y = 16/2

y = 8

Rezolvarea pentru x

x = 13 - y

x = 13 - 8

x = 5

Prin urmare:

Număr de trandafiri = x = 5 trandafiri

Numărul este garoafe = y = 8 garoafe

4 0

2 years ago

Mr. Richard owns an orchard that has a rectagular fence . The orchard is 36 yards long and 18 yards wide . if he walks across th

Sergio [31]

Answer:

40.2 Yards

Step-by-step explanation:

To find the diagonal length of the orchard, we need to use the Pythagorean Theorem. The formula of the Pythagorean Theorem is:

c²= a² + b²

a = 36 Yards

b = 18 Yards

Now let's plug in our values to the formula.

c² = a² + b²

c² = 36² + 18²

c² = 1296 + 324

c² = 1620

Now to find the value of c we need to get the square root of both sides.

$\sqrt{c^{2}}=\sqrt{1620}$

c = 40.2

So the diagonal length of Mr. Richard's orchard is 40.2 Yards.

7 0

3 years ago

Show how to subdivide and recombine the parallelogram below to form a B by H rectangle thereby explaining why the area of the pa

11Alexandr11 [23.1K]

Below is the proof why the area of a parallelogram is B times H

<h3>How to form a rectangle from the parallelogram</h3>

The following steps would create a rectangle from the parallelogram

Step 1: Cut out the triangular part of the parallelogram
Step 2: Attach the triangular part to the other end of the parallelogram

See attachment for the steps.

When the rectangle has been created, we have the following dimensions:

Length = h

Width = B

The area of a rectangle is:

Area = Length * Width

This gives

Area = h * B

Evaluate

Area = Bh

Hence, the area of a parallelogram is B times H