(solving geometry problems involving quadratic equation)
The perimeter of a rectangular swimming pool is 72m and its area is 405m².
A. How would you represent the length and the width of the swimming pool?
B. What equation represents the perimeter of the swimming pool? How about the equation that represents its area?
C. How could you find the length and the width of the swimming pool?
D. What is the length of the swimming pool? How about its width? Explain how you arrived at your answer
E. How would you check if the dimensions of the swimming pool obtained satisfy the conditions of the given situation?
F.Suppose the dimensions of the swimming pool are both doubled, how would it affect its perimeter? How about its area?
Answers & Comments
Answer:
picture inside a frame is 2 in longer than it is wide. The picture is in a frame that has width 3 in on each side of the picture. If the area of the picture, including the frame is 195 in2, find the dimensions of the frame.