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
padilas [110]
3 years ago
8

The perimeter of a rectangular is 58 cm. The length is 5 more than twice the width.

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0
<h3>Answer:</h3>

a) l = 5 + 2w

b) P = 2(l +w) = 2(5 +2w +w)

c) w = 8 cm, l = 21 cm

<h3>Explanation:</h3>

a) Using w for width, twice the width is 2w, and 5 more than that is 5+2w. This is your expression for l:

... l = 5 + 2w

b) The perimeter is the sum of the lengths of all sides, so is the sum of twice the length and twice the width.

... P = 2(l +w) = 2(5 +2w + w) . . . . substituting for l using the expression of (a)

c) Substituting the given perimeter, we have ...

... 58 = 2(5 +3w) = 10 + 6w . . . . . collect terms, eliminate parentheses

... 48 = 6w . . . . . . . . . . . . . . . . . . subtract 10

... 8 = w . . . . . . . . divide by 6

... l = 5 + 2·8 = 21 . . . . . find length using the formula for it

Dimensions are in centimeters, so we can write the solution as ...

  • width = 8 cm
  • length = 21 cm
You might be interested in
The table below shows data for a class's mid-term and final exams:
lina2011 [118]
Mid term :
Q1 = (88 + 85)/2 = 86.5
Q2 = (92 + 95)/2 = 93.5
Q3 = 100
IQR = Q3 - Q1 = 100 - 86.5 = 13.5

final exams :
Q1 = (65 + 78)/2 = 71.5
Q2 = (88 + 82)/2 = 85
Q3 = (95 + 93)/2 = 94
IQR = Q3 - Q1 = 94 - 71.5 = 22.5

so the final exams has the largest IQR
 
5 0
3 years ago
Read 2 more answers
How would I answer this question? Can someone please help me, and explain why. Thank you.
Serjik [45]
Can you tell me what you need help because it doesn't says
4 0
3 years ago
Manuel ate 1/3 of the cracker on a plate. His brother ate 1/4 of the cracker. their were 5 crackers left on the plate. How many
Lynna [10]
5 and 7/12 of a cracker
6 0
3 years ago
Read 2 more answers
Can someone please help with these to problems.. thank you!
Helen [10]
-2 x 3 +4

-6+4

the answer is -2

then for the second one

5+4 x 6

5+24
answer =29
3 0
3 years ago
Read 2 more answers
Find the extreme values of f(x y)=xy subject to the constraint x^2 + y^2 -4 = 0
KATRIN_1 [288]
Via Lagrange multipliers:

L(x,y,\lambda)=xy+\lambda(x^2+y^2-4)

L_x=y+2\lambda x=0
L_y=x+2\lambda y=0
L_\lambda=x^2+y^2-4=0

yL_x=y^2+2\lambda xy=0
xL_y=x^2+2\lambda xy=0
\implies yL_x-xL_y=y^2-x^2=0\implies y^2=x^2
\implies x^2+y^2=4=2x^2\implies x^2=2\implies x=\pm\sqrt2\implies y=\pm\sqrt2

So we have four critical points to consider, (\sqrt2,\sqrt2),(-\sqrt2,\sqrt2),(\sqrt2,-\sqrt2),(-\sqrt2,-\sqrt2). If both coordinates are positive or both are negative, we get a maximum value of (\pm\sqrt2)^2=2; otherwise, we get a minimum of (-\sqrt2)(\sqrt2)=-2.
4 0
3 years ago
Other questions:
  • How to make a mixed or whole number 7/3
    7·2 answers
  • 1. Nicole usually scores between 89%
    5·1 answer
  • Kushyklaw 9+10 is what
    6·1 answer
  • If f(x)=3x+1 and g(x)=1x what is the value of (f-g)(2)
    11·1 answer
  • Suppose a plane flies 48 miles in 12 minutes. The relationship between miles flown,x, and minutes flown,y, by the plane can repr
    12·1 answer
  • H=10 cm<br>T = 7 cm<br>A. Calculate the volume of the cylinder​
    13·1 answer
  • Given the sets above, select all (or the null set) of the element of: B
    6·1 answer
  • Which of the following pairs of functions are inverses of each other?
    6·1 answer
  • What phrase represents this expression x/3
    14·1 answer
  • The ratio of red candies to blue candies is 5:4 in the bag. If there are 20 blue candies in the bag, how many red candies are th
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!