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
Bad White [126]
3 years ago
9

The rectangle below has an area of 70 square meters. Find the dimensions of the rectangle. (x - 11) (x - 8)

Mathematics
1 answer:
aniked [119]3 years ago
7 0

Answer:

the dimensions of the rectangle are 10 and 7.

Step-by-step explanation:

Given;

area of the rectangle, A = 70 m²

dimensions of the rectangle, = x - 11 and x - 8

The area of rectangle is calculated as;

A = L x B

70 = (x - 11)(x - 8)

70 = x² - 8x - 11x + 88

0 = x² - 8x - 11x + 88 - 70

0 = x² - 19x + 18

0 = x² - x - 18x + 18

0 = x(x - 1) -18(x - 1)

0 = (x - 18)(x - 1)

0 = x - 18     or    

0 = x - 1

x = 18 or 1

The dimensions of the rectangle are calculated as;

L = 18 - 11  = 7

B = 18 - 8 = 10

Therefore, the dimensions of the rectangle are 10 and 7.

You might be interested in
A rectangular park measures 300ft by 400ft. A sidewalk runs diagonally from one corner to the opposite corner. Find the lunch of
saveliy_v [14]
When we are given a line cutting diagonally from one corner of a rectangle to the opposite corner, we are given two triangles.

300ft
____
| /|
| / |
| / |
| / |400ft
| / |
| / |
|/ |
-------

*not to scale

Now, using the right-angle trigonometry rule, we can find the hypotenuse (the diagonal line) which represents the footpath.

a^2 + b^2 = c^2

{where a is one side length, b is another side length, and c is the hypotenuse}

Thus, we make c the subject of the equation and substitute the other known values:

c^2 = 400^2 + 300^2
= 160,000 + 90,000
= 250,000

Now we move the 'squared' (^2) from the left hand side to the right hand side. When moving it across the equal sign (=) the result becomes the 'root' of itself:

c = _/250,000
= 500

Therefore, the length of the diagonal path is 500ft.
5 0
3 years ago
What’s the answer to this question?
Lostsunrise [7]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Please help I don’t understand! Giving brainliest
Marrrta [24]

Answer:

b

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Which graph shows the solution to the system of linear inequalities?<br> y&lt; 2x-5<br> y&gt;-3x + 1
trapecia [35]

Answer:

See explanation

Step-by-step explanation:

Plot the solution sets to both inequalities.

1. For the inequality y First, plot the dotted line y=2x+5 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

2\cdot 0-5=-5

so the origin does not belong to the needed part. Shade the part, which does not include origin.

2. For the inequality y>-3x+1. First, plot the dotted line y=-3x+1 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

-3\cdot 0+1=1>0

so the origin does not belong to the needed part. Shade the part, which does not include origin.

3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.

5 0
3 years ago
Can the sum of two mixed numbers be equal to 2?
igomit [66]
No it cant because a mixed number is over one unless that mixed number is negative
3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the product of 3 1/8 and 12/7. Express your answer in simplest form
    13·1 answer
  • What is number 2,3,4,5
    10·1 answer
  • Paulo need to make tea for 80 scones. He has 3 litres of milk. Does paulo have enough mil to make 80 scones?
    12·1 answer
  • Hanna charges an hourly babysitting fee of 6$ for two children,m 7$ for 3 children, and $8 for four or five children.
    8·1 answer
  • Explain how rays AB and AC from both a line and and angle.
    15·1 answer
  • Find the discriminant of the quadratic equation given. Use
    5·1 answer
  • What is the image of (-1,-6) after a reflection over the y-axis?
    6·2 answers
  • I will Rate you 5 stars and give you 30 points
    15·1 answer
  • IDENTIFY BY HIGHLIGHTING RADIUS IN RED DIAMETER IN BLUE 28 CIRCUMFERENCE IN GREEN AREA IN YELLOW​
    5·1 answer
  • Jada's sister earns a commission. She makes 3.5% of the amount she sells. Last week she sold $7,000 worth of furniture. How much
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!