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
zepelin [54]
2 years ago
9

The length of a rectangle is twice its breadth. If its length is decreased half of the 10 cm and the breadth is increased by hal

f of the 10 cm cm, the area of the rectangle is increased by 5 sq cm, more than 70 sq cm. Find the length of the rectangle.
Also....any armies, stays and blinkss?
Mathematics
1 answer:
Leto [7]2 years ago
6 0

Since the length of this rectangle is twice its breadth, the length is equal to 40 cm.

<h3>How to calculate the area of a rectangle?</h3>

Mathematically, the area of a rectangle can be calculated by using this formula:

Area = Length × Width

Based on the information provided, we have:

  • Its length is decreased half of the 10 cm ⇒ (length - 5)
  • Its breadth is increased by half of the 10 cm ⇒ (breadth + 5)
  • Its area is increased by 75 cm ⇒ (area + 5)

Substituting the parameters into the formula, we have:

LB + 75 = (L - 5)(B + 5)

2B² + 75 = (2B - 5)(2B + 5)

2B² + 75 = 2B(B + 5) - 5(B + 5)

2B² + 75 = 2B² + 10B - 5B - 25

5B = 75 + 25

5B = 100

B = 100/20

B = 20 cm.

For the length, we have:

L = 2B

L = 2 × 20

L = 40 cm.

Read more on rectangle here: brainly.com/question/25292087

#SPJ1

You might be interested in
PLEASE HELP ME!!!
Anna007 [38]

Answer:

1)(2x + y \:  \:  \: 2) = (1 \:  \: x - y) \\ so \: compare \: 2x + y = 1...(1) \\ 2 = x - y....(2) \\ 2x + y = 1...(1) \\ x - y = 2....(2) \\ (1) + (2) \\ 3x + 0y = 3 \\ x =  \frac{3}{3}  = 1 ....(3)\\  \\ put \: (3)in \: (1) \\ 2 \times 1 + y = 1 \\ y = 1 - 2 \\ y =  - 1 \\ here \: x = 1 \\ y =  - 1 \\ 2)(x  + 2y \:  \:  \: 3) \: and \: ( - 1 \:  \:  \: 2x - y) \\ here \: x + 2y =  - 1...(1) \\ 2x - y = 3...(2) \\ (2) \times 2 =  > 4x - 2y = 6...(3) \\ x + 2y =  - 1....(1) \\ (1) + (3) \\ 5x + 0y = 5 \\ x =  \frac{5}{5}  = 1....(3) \\ put \: (3) \: in \: (1) \\ 1 + 2y =  - 1 \\ 2y =  - 2 \\ y =  \frac{ - 2}{2}  =  - 1 \\ here \: x = 1 \\ and \:  \\ y =  - 1 \\ thank \: you

5 0
3 years ago
Read 2 more answers
"if z is a standard normal variable, find the probability. the probability that z lies between 0 and 3.01"
spayn [35]
Probability between z = 0 and z = 3.01 is given by

P(0<z<3.01) = P(z<3.01) - P(z<0)

Reading from the z-table, we have
P(z<0) = 0.5
P(z<3.01) = 0.9987

Hence, P(0<z<3.01) = 0.9987 - 0.5 = 0.4987

5 0
3 years ago
What is the area of a quadrilateral ABCD, if AB = 5 cm, BC = 13 cm, CD = 9 cm, DA = 15 cm, AC = 12 cm?
Setler [38]
<span>ABCD is a quadrilateral with angle ABC a right angle. The point D lies on the perpendicular bisector of AB. The coordinates of A and B are (7, 2) and (2, 5) respectively. The equation of line AD is y = 4x − 26. find the area of quadrilateral ABCD</span>
4 0
3 years ago
In a story about a doctor trying to treat a patient with mysterious symptoms, which scene would most likely be the climax?
marshall27 [118]
Him doing the surgerys / treating the patient
3 0
2 years ago
A mother is 24 years older than her daughter.Before eight years she was seven times her daughter's age.Find their present ages​
Ne4ueva [31]

Answer:

Mother's Present Age = 36 years

Daughter's Present Age = 12 years

Step-by-step explanation:

Let present age of mother be "m" and present age of daughter be "d"

Mother is 24 years older than her daughter, so we can write:

m = 24 + d

8 years ago, Mother was 7 times old as daughter, that would be:

m - 8 = 7(d - 8)

Note, since 8 years ago, both "m" and "d" have 8 subtracted from it.

Now we substitute Equation 1 into Equation 2 and solve for d:

m - 8 = 7(d - 8)\\24+d - 8 = 7(d - 8)\\16+d=7d-56\\6d=72\\d=\frac{72}{6}\\d=12

Mother age, m, would be:

m = 24 + d

m = 24 + 12

m = 36

Hence,

Mother's Present Age = 36 years

Daughter's Present Age = 12 years

4 0
3 years ago
Other questions:
  • What is the sum or difference? 3x^8 + 7x^8
    12·1 answer
  • Help..? ill give you a lot of points
    8·2 answers
  • Determine whether the given relation is an implicit solution to the given differential equation. assume that y is a function of
    10·1 answer
  • Hannah is participating in a marathon. She can run 4 miles in 50 minutes. At this rate, how long will it take Hannah to run 30 m
    5·1 answer
  • Arithmetic and geometric
    14·1 answer
  • In a classroom,there are 12 girls and 8 boys.What fraction of the students in class are girls?What percent of the class are girl
    9·1 answer
  • Simplify y÷4.5+1.69=9.52
    6·2 answers
  • Please help me, on small sentence.
    10·1 answer
  • Plz help u have to do all 3 parts
    14·1 answer
  • What is the slope of the line through (-7, -8) and (0,4)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!