math
posted by Jane .
A rectanglar blacktop with a length of 5x and a width of 3x has been erected inside a rectangular field that has a length of 12x and a width of 7x.
What is the area of the part of the field that is not blacktop? (I believe the answer is 69x^2)
There is a circular fountain in the rectangular field that has a radius of 3x. What is the area of the part of the field that does not include the blacktop of the fountain? Factor your answer. (Please show me how to set up and solve) Thanks

5x3 = 15
12x7 = 84
8415 is 69, so you are corect
area of circle is pi(3x)^2 = 9pi x^2
so, subtract: 84x^2  9pi x^2 = (849pi)x^2 
the factor of part b. would end up being 3x^2(233pi). because you would have to bring down the area of part a. which would be 69x^2 with the 9pix^2 not 84, therefore, giving the factored solution of 3x^2(233pi). 3 is the gcf because 69 cannot and 9 cannot be multiplyed to obtain each with the same nuber other than 3.

11

a)8415=69
Area=69x
b) 3x^2(84pi)
Respond to this Question
Similar Questions

basic geometry
A rectangle has width the same asa a side of a square whose perimeter is 20m.the length of the rectangle is 9m. Find the perimeter of this rectangle. 34. The with of a rectangular picture is onhalf the length . The perimeter of the … 
math
the length of a rectangular playing field is 5ft less than twice its width. If the perimeter is of the playing field is 230ft, find the lenght and width of the field. How would I even begin to set up the equatin let alone solve the … 
math
the length of a rectangle is 6 cm more than its width. the area is 11 cm squared. find the length and width. look at the post by anonymous at 8:55, it is almost the same as yours. Do it the same way. length= x+6 width=x x(x+6)=11 x^2 … 
algebra
The length of a rectangular garden is 5 ft less than 3 times its width. If the perimeter of the garden is 22 ft, find the dimensions of the garden. I will start you off with... let the width be w, then the length is 3w  5 I am pretty … 
Algebra
If a football field's length is 120 yds. and its width is 53 1/3 yards and a soccer field's lenght is 130 yds and its width is 100 yards how many times the area of the small field is the area of the larger field? 
Algebra 2
A rectangular piece of cardboard has length that is 16 inches more than the width. The area of the cardboard is 297 sq. in. Find the measures of its width and length. Enter width in., length in. 
math
Which two rectangles have an area of 72 square centimeters? 
Math
The length of a rectangular field is seven meters less than four times the width. The perimeter is 108 meter. Find the width and length of the field. How do I do this? 
Math, prealgebra
The volume of a rectangular prism is 6x^3 x^2 2x. Which model could represent the rectangular prism? 
Math
The volume of a rectangular prism is 6x^3 x^2 2x. Which model could represent the rectangular prism?