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
lina2011 [118]
3 years ago
9

If the length of a rectangle is 5 m more than its width find the values of length and width if the area of a rectangle is 500 m²

​
Mathematics
1 answer:
astra-53 [7]3 years ago
3 0

Answer:

Length of the rectangle  =25

width of the rectangle  = 20

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the width of the rectangle

Given that the length of a rectangle is 5 m more than its width

Given that Area of the rectangle = 500m²

length of a rectangle = x +5

width of a rectangle = x

<u><em>Step(ii):-</em></u>

Area of the rectangle = length × width

             500 = x ( x+5)

          x² + 5 x = 500

      ⇒  x² + 5 x - 500 =0

      ⇒  x² +25x - 20 x - 500 =0

    ⇒  x( x+25) -20(x+25) =0

  ⇒  (x-20)(x+25) =0

 ⇒  x =20 and x=-25

we can choose x =20

<u><em>Step(iii):-</em></u>

Length of the rectangle = x +5 = 20 +5 =25

width of the rectangle  = 20

<u><em>Final answer</em></u>:-

Length of the rectangle  =25

width of the rectangle  = 20

You might be interested in
In a recent survey 7 out of 10 people prefer coffee in the morning the rest said they prefer tea if 27 people said they prefer t
prohojiy [21]
<span>To find the answer to this equation, use the result of "27 people" who prefer tea. This is equivalent to 3 out of 10 people in the whole survey sample. Using equivalent fractions to find the total sample, we see that "3/10 = 27/x." Multiplying 3 by 9 gives 27, so multiplying 10 by 9 gives a total sample size of 90 people.</span>
8 0
3 years ago
Please help me with this math problem??
Kazeer [188]

Answer:

37.5

Step-by-step explanation:

the triangle is enlarged by a factor of 2.5 so you multiply all of the numbers in XYZ by 2.5 then add them

15+10+12.5=37.5 units

6 0
3 years ago
Read 2 more answers
Abena has 1.3kg of apples and plenty of the other ingredients.
Sphinxa [80]

Answer:

No, she can't make for 15 people.

Step-by-step explanation:

For 15 people the mass of apple required is 1.375 kg.

She can only make 14 apple crumbles.

Please mark as brainliest

7 0
3 years ago
During the days leading up to her piano recital, Lana practiced an average of 1 5/12 hours per day. Her total practice time was
marshall27 [118]

Answer:

<h2>8</h2>

Step-by-step explanation:

Divide 11 1/3 by 1 5/12 to find out the rough amount of days she practiced.

11.3333/1.41667 = 7.9999 or about 8

PLEASE MARK BRAINLIEST!

8 0
3 years ago
Two cars leave at the same time from points A and B, the distance between them is 280 km. If the cars meet each other, they’ll m
kykrilka [37]
Set up the following equations:

2x + 2y = 280

14x - 14y = 280

x represents car A's speed, and y represents car B's speed.

We'll use elimination to solve this system of equations. Multiply the first equation by 7:

(2x + 2y = 280) * 7 = 14x + 14y = 1960

14x - 14y = 280

Combine both equations:

28x = 2240

Divide both sides by 28 to get x by itself:

x = 80

The speed of car A is 80 mph.

Since we now know the value of one of the variables, we can plug it into the first equation:

2(80) + 2y = 280

160 + 2y = 280

Subtract 160 from both sides.

2y = 120

Divide both sides by 2 to get y by itself:

y = 60

The speed of car B is 60 mph.

7 0
3 years ago
Other questions:
  • What is the answer to -7=-21-×/4​
    8·1 answer
  • How do i do the equation 5y - 3/5 =4/5
    7·1 answer
  • Alim buys 2 T-shirt for $ 9.50 each, a 3 pack of socks for $ 7.95, and a pair of shoes for $ 49.95 . The sales tax is $6 percent
    6·1 answer
  • bernite is selling candy bars for a school fundraiser. the school paid $20 for a box of 15 king size candy bars and bernite sell
    11·1 answer
  • Missing lenght on the right side. solve for c. 8", 6" =c
    5·1 answer
  • SHOW YOU WORK TO BE MARKED BRAINLIEST!!!
    10·1 answer
  • write a equation in a point-slope form fir the line through the given point with the given slope (9,-1);m=4/3​
    7·1 answer
  • What type of algebra is 3.75(18) + 4.25(32) = 316
    11·2 answers
  • (7-4) *5/3 I need help *= multiply /= division
    5·1 answer
  • A popular car has an engine that is reported to have a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!