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
Kazeer [188]
3 years ago
14

The perimeter of a rectangle is 108cm. The ration of its length to its width is 7:2 what is the area of the rectangle in cm2?

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Answer:

504 cm²

Step-by-step explanation:

Let the length and the width of the rectangle be L cm and W cm respectively.

Perimeter= 2(L +W)

2(L +W)= 108

L +W= 108 ÷2

L +W= 54

L= 54 -W -----(1)

\frac{L}{W}  =  \frac{7}{2}

<em>Cross multiply:</em>

2L= 7W -----(2)

Substitute (1) into (2):

2(54 -W)= 7W

<em>Expand:</em>

108 -2W= 7W

<em>+2W on both sides:</em>

9W= 108

<em>Divide both sides by 9:</em>

W= 108 ÷9

W= 12

<em>Substitute W= 12 into (1):</em>

L= 54 -12

L= 42

Area of rectangle

= length ×width

= LW

= 42(12)

= 504 cm²

You might be interested in
A container holds 4 gallons of juice how much is this in pints ​
Sladkaya [172]

32 pints is the answer to this question

4 0
3 years ago
What is the value of n in the equation ? n = 0 n = 2 n = 4 n = 6
RideAnS [48]

Answer:

N=2

Step-by-step explanation:

N=2

5 0
3 years ago
Read 2 more answers
7.2x14.3 what is that?
Galina-37 [17]

Answer:

102.96

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Shannon drove for 540 minutes. if she drove 65 miles per hour how many miles did she travel?
dmitriy555 [2]
She drove 585 miles

60 =1 hour
60*9=540
9*65=585
3 0
3 years ago
Read 2 more answers
How many times larger is 4 x 1013 than 4 x 106? A 1 x 106 B) 1 x 107 C) 4 x 106 D) 4 x 107
Mice21 [21]
The answer to your question is A.
5 0
3 years ago
Read 2 more answers
Other questions:
  • A real-world problem problem to represent 10x + 40 = 100
    15·1 answer
  • What is the greatest possible integer solution of the inequality 3.829x &lt; 28.195?
    15·1 answer
  • What is the volume of the pyramid? 11Two-thirds cm3 43Three-fourths cm3 58One-third cm3 87One-half cm3
    7·2 answers
  • The Knowles/Armitage (KA) group at Merrill Lynch advises clients on how to create a diversified investment portfolio. One of the
    7·2 answers
  • Find the additive inverse of 9/10 need help
    9·2 answers
  • What is x/2 - 14 = 20​
    7·2 answers
  • 2+2! ANSWER FAST OR MY TACHER WILL KILL ME
    12·1 answer
  • In addition to the facts in the diagram, which statement is necessary to prove that the two triangles are congruent by the SAS c
    14·1 answer
  • Please help ASAP for brainliest!
    6·2 answers
  • Somebody help me with this please
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!