SOLUTION: suppose rectangles Q and R are similar. the dimension of rectangle Q are 8 cm and 20 cm. the area of rectangle R is 2250 square cm . what are the dimension of rectangle R?

Question 498571: suppose rectangles Q and R are similar. the dimension of rectangle Q are 8 cm and 20 cm. the area of rectangle R is 2250 square cm . what are the dimension of rectangle R?
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
The area of the smaller rectangle is 160 cm sq.
2250/160 = 14.065.
is our scale factor.
3.75 is our scale factor.
8 * 3.75 = 30, one dimension.
20 * 3.75 = 75, the other dimension.
30 cm *75 cm = 2250 cm.
This does check.
Cleomenius.
RELATED QUESTIONS
The perimeter of rectangle A is 10 cm and its area is 6 cm^2. The perimeter of rectangle... (answered by ikleyn)

suppose x and y are similar. The demenstions of rectangles x are 5 cm by 7 cm. The area... (answered by solver91311)

Two rectangles are similar. One is 5 cm by 12 cm. The longer side of the second rectangle (answered by ramkikk66)

Two rectangles are similar. One is 5 cm by 12 cm. The longer side of the second... (answered by ankor@dixie-net.com)

The widths of two similar rectangles are 8 cm and 18 cm. What is the ratio of the... (answered by richwmiller)

ABCD is a rectangle, and its length is twice its width. The perimeter of the rectangle is (answered by JimboP1977)

P,Q,R, and S are midpoints of AB, BC, CD and AD respectively of square ABCD. P,Q,R, and... (answered by MathLover1)

two rectangles are similar one has a length of 12 cm and width of 9 cm , and the other... (answered by Cromlix)

the width of a rectangle is 8 cm. less than its length and the area is 20 sq cm. what are (answered by Fombitz)