1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mashutka [201]
3 years ago
7

A rectangular stirp of asphalt paving is 5 meters longer than it is wide. its area is 300 square meters. find the length and wid

th
Mathematics
2 answers:
kow [346]3 years ago
7 0
Let's call L the width of the rectangle and W its width. The area of the rectangle is the product between the length and the width, and we are also told that the area is 300 square meters, so we can write
A=L\cdot W=300
Moreover, we know that the length is 5 meters longer than the width:
L=W+5
We have a system of 2 equations in 2 unknown variables, L and W. If we substitute the second equation into the first one, we get
(W+5)\cdot W=300
W^2+5W-300=0
which has two solutions: W=-20 and W=15. We can discard the negative solution since it does not have physical meaning, and now we can substitute the value of W into the second equation to find L:
L=W+5=15+5=20
<span>Therefore, the rectangle has width 15 meters and length 20 meters.</span>
nekit [7.7K]3 years ago
7 0

Answer:

20 m and 15 m

Step-by-step explanation:

Let the width of the rectangle is x.

According to the question, the length is 5 m more than the width.

So, the length of the rectangle is x + 5.

Area of the rectangle is given by

A = length \times widthA = x \times (x+5)A = x^{2}+5x

As given in the question area is 300 square metre

So, x^{2}+5x = 300

x^{2} + 5x -300 = 0

x^{2} + 20 x - 15x - 300 = 0

x(x + 20) -15 (x + 20) = 0

(x + 20) (x - 15) = 0

x = - 20, 15

The width cannot be negative.

So width is equal to 15 m and length is equal to ( 15 + 5) = 20 m .

You might be interested in
Use the functions to answer the question.
Lelechka [254]

Answer:

3 and 9

if f(x)=x^2+13 and g(x)=12x-14

Step-by-step explanation:

So when we are looking for the intersection of two functions, we are trying to figure out when they are the same.  When you think same, you should think equal (=).

So we want to find when f(x)=g(x) for x.

f(x)=g(x)

x^2+13=12x-14

Let's get everything to one side.

Subtracting 12x and adding 14 to both sides.

x^2+13+14-12x=0

I'm going to reorder the left hand side and also simplify the 13+14 part:

x^2-12x+27=0

Now since the coefficent of x^2 is just 1 our job is to find two numbers that multiply to be 27 and add up to be -12.

Those numbers are -3 and -9 since -3(-9)=27 and -3+(-9)=-12.

So the factored form of our equation is

(x-3)(x-9)=0

Since the product is 0, then at least one of the factors must be 0.

So we want to solve both x-3=0 and x-9=0.

x-3=0 can be solved by adding 3 on both sides. This gives us x=3.

x-9=9 can be solved by adding 9 on both sides. This gives us x=9.

The intersection of f and g happens at x=3 or x=9.

5 0
3 years ago
Read 2 more answers
I need help asap! Thank you!
Zarrin [17]

Answer:

A. 55°

Step-by-step explanation:

Complementary angles are angles that add up to give us 90°.

Since <A and <B are complementary angles, it implies that:

m<A + m<B = 90°

If m<A = 35°, therefore:

35° + m<B = 90°

Subtract 35° from each side

m<B = 90° - 35°

m<B = 55°

8 0
2 years ago
How to convert 43 cm into a fraction?<br><br> .
Alex787 [66]
Since a cm is 1/100th of a meter, 43 cm would simply be 43/100. Hope that helps!
5 0
3 years ago
What is the greatest number of 19 cent stickers that can be purchased with a $20 bill, assuming there is no sales tax?
user100 [1]

Answer:

105

Step-by-step explanation:

First, you are going to convert dollars to cents. Since there are 100 cents in a dollar, multiple $20 by 100. Now you should have 2,000 cents. Now all you have to do is divide by 19, the cost of the stamps, and you should get 105.26. Because you can't by part of a stamp your answer would be 105.

4 0
2 years ago
The volume of a cube is 125 cubic inches. What is the<br> length of one edge of the cube?
Tcecarenko [31]

Step-by-step explanation:

All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.

6 0
3 years ago
Other questions:
  • Round 45,809 to nearest thousand and also round 26,789 to nearest ten thousand
    5·2 answers
  • Determine the length (to 1 decimal place) of the arc that subtends an angle of 2.8 radians at the centre of a circle with radius
    5·1 answer
  • As an apprentice working for 1 plus 1 Landscaping, you’re learning the tricks of the trade. Your boss wants you to calculate the
    11·2 answers
  • Tina has 3/5 pound of rice she will use 2/3 of it to make fried rice for her family how much rice will Tina use to make fried ri
    7·2 answers
  • Six plus four times a number plus four times four minus four times the number no
    5·1 answer
  • Which of the expressions can you use to find the number of 3-digit passwords you can make using the digits 5, 6, and 7, if you d
    8·1 answer
  • Where do i plot these please and thank you^^
    5·1 answer
  • Help me solve this question!<br><br> Write (x + 3)(x − 2) in standard form.
    9·2 answers
  • Consider the following equation. x · y = z, where x &lt; 0 and y &gt; 0
    7·2 answers
  • Easy question:
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!