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qaws [65]
3 years ago
6

Andre is creating a border around his rectangular patio with paver bricks. The coordinates of the vertices of the patio are ( 1,

5 ), ( 6,5 ), (6,1), and ( 1, 1 ). Each grid square has a length of 3 feet.Find the amount of brick, in feet,needed for the perimeter.
Mathematics
1 answer:
MrRa [10]3 years ago
5 0
The given coordinates are (1, 5), (6, 5), (6, 1) and (1, 1). Draw a rectangular figure using these coordinates. 

The measurements of each side are 4, 4 ,5, and 5. Therefore the perimeter of the patio is:

4 + 4 + 5 + 5 = 16 feet

If each grid of the square is 3 feet. The measurement of the upper part of the patio is 5 + 3 + 3 = 11 feet. The other side is 3 + 3 + 4 = 10 feet. So the total area of the patio plus the bricks is 10 x 11 = 110 sq. feet. The area of the patio is 4 x 5 = 20 ft.

Therefore, the remaining area is 110 - 20 = 90 ft.  
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21

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from each term in the polynomial.

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63

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+

42

b

3

c

2

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21

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2

c

2

from the expression  

42

b

3

c

2

.

21

b

2

c

2

(

3

c

2

)

+

21

b

2

c

2

(

2

b

)

Since all the terms share a common factor of  

21

b

2

c

2

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21

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2

c

2

(

3

c

2

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6 0
3 years ago
Read 2 more answers
Joanne has a cylindrical, above ground pool. the depth (height) of the pool is 1/2 of its radius, and the volume is 1570 cubic f
diamong [38]

Answer:

314 ft²

Step-by-step explanation:

Data provided in the question:

Depth (height) of the pool = \frac{1}{2} of its radius

let the radius be 'r' ft

thus,

Depth (height) of the pool, h = \frac{r}{2} ft

Volume of the pool = 1570 ft³

also,

Volume of cylinder = πr²h

thus,

1570 ft³ = πr²h

or

1570 ft³ = \pi r^2(\frac{r}{2})

or

3140 = 3.14 × r³                     [ π = 3.14 ]

or

r³ = 1000 ft³

or

r = 10 ft

Thus,

Area of the bottom surface = πr²

= 3.14 × 10²

= 314 ft²

5 0
3 years ago
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