Semicircle and Rectangle

Algebra
Tutor: None Selected Time limit: 1 Day

A semicircle of radius r=3x is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle.

a. Express the area A of the rectangle as a function of x.

b. Express the perimeter P of the rectangle as a function of x.

May 29th, 2015

a.  Since the radius is 3x, the diameter is 6x.  Then the length of the rectangle is also 6x.  The width is the same as the radius, which is 3x.

Therefore, 

Area = (6x)(3x) = 18x^2

so,  A(x) = 18x^2

b.  Perimeter = 2L + 2W

therefore,

perimeter = 2(6x) + 2(3x) = 12x + 6x = 18x

so, p(x) = 18x

May 29th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
May 29th, 2015
...
May 29th, 2015
Dec 4th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer