Ask question

Ask question

All categories

3 years ago

12

A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?

1 answer:

Lady bird [3.3K]3 years ago

3 0

Answer:

Length = 6 inches, Width = 10 inches

Step-by-step explanation:

A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?

Note :

L = Length

W = Width

The perimeter of a rectangle = 2( L + W)

The area of a rectangle = LW.

A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches.

32 = 2( L + W)

Divide both sides by 2

16 = L + W.... Equation 1

L = 16 - W

Also:

LW = 60....... Equation 2

Let us substitute 16 - W for L in Equation 2

(16 - W)W = 60

16W - W² = 60

W² - 16W + 60 = 0

W² - 6W - 10W + 60 = 0

W(W - 6) - 10(W - 6) = 0

W - 6 = 0, W = 6 inches

W - 10 = 0, W = 10 inches

Solving for L

W = 10

L = 16 - 10

L = 6 inches

Therefore, the dimensions of the shingle =

Length = 6 inches, Width = 10 inches

You might be interested in

Avery works on commission as a car saleswomen.she sold a car today that cost 8,000$ and received a 400$ commission.What percent

Phantasy [73]

800 is 10% of 8,000. So half of 800 is 400. That makes the percent of her sale that is Avery's commision is 5%.

4 0

4 years ago

I need help answering this question please help

MArishka [77]

40

Or at least that what my calculator says.

8 0

3 years ago

graph the image of this figure after a dilation with a scale factor of 2 centered at the origin use the polygon tool to graph t

Iteru [2.4K]

Answer:

For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.

The new coordinates will be

A(-4,10)

B(4,10)

C(-4,4)

D(4,4)

Step-by-step explanation:

The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).

4 0

3 years ago

Read 2 more answers

A flying disc was originally marked at 5$ and has been sold at $3.50. What was the percent of discount?

Otrada [13]

Answer:

30%

Step-by-step explanation:

Percentage discount

$= \frac{discount}{original \: price} \times 100\% \\ = \frac{5 - 3.50}{5} \times 100\% \\ = 30\%$

☆ Discount= original price -selling price

7 0

3 years ago

14. Solve: 3x² + 5x – 12 = 0<br>B. 4-3<br>C. 8, - 18

VARVARA [1.3K]

Answer:

b

Step-by-step explanation:

The equation:

3

x

2

−

5

x

−

12

=

0

is in the form:

a

x

2

+

b

x

+

c

=

0

with

a

=

3

,

b

=

−

5

,

c

=

−

12

The roots are given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

x

=

5

±

√

(

−

5

)

2

−

4

(

3

)

(

−

12

)

2

(

3

)

x

=

5

±

√

25

+

144

6

x

=

5

±

√

169

6

x

=

5

±

13

6

That is:

x

=

5

+

13

6

=

18

6

=

3

or

x

=

5

−

13

6

=

−

8

6

=

−

4

3

7 0

4 years ago