The perimeter of a rectangle is 96 ft. The ratio of its length to its width is 7 : 5. What are the dimensions of the rectangle?
A.
30 ft by 18 ft
B.
28 ft by 20 ft
C.
24 ft by 24 ft
D.
22 ft by 26 ft
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@madhu.mukherjee.946 @hartnn
OpenStudy (midhun.madhu1987):
Perimeter of Rectangle P = 2 * ( l + b )
Let length, l = 7x and Breadth, b = 5x
P = 2 * ( l + b )
96 = 2 * ( 7x + 5x )
Solve for x.
Then Find length and breadth.
OpenStudy (anonymous):
i'm getting C is that right?
OpenStudy (midhun.madhu1987):
Can you let me know how you got that answer?
OpenStudy (anonymous):
7x+5x=12x*2=24
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (midhun.madhu1987):
96 = 2 * ( 7x + 5x )
12x * 2 = 96
24x = 96
What is the value of x?
OpenStudy (anonymous):
do you divide?
OpenStudy (anonymous):
no you dont ok
OpenStudy (anonymous):
i'm still confused on what to do next?
OpenStudy (midhun.madhu1987):
24x = 96
Divide both sides by 24.
What you get?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
1 and 0.25
OpenStudy (midhun.madhu1987):
24x = 96
so, x = 96 / 24 = 4
we got the value of x = 4.
Now find length = 7x = 7 * 4 = 28
Breadth = 5x = 5* 4 = 20