Q:

The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If ▱STOP has an area of 64 square yards, then ▱QUAD has an area of a0 square yards.The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If ▱QUAD has a perimeter of 210 centimeters, then ▱STOP has a perimeter of a0 centimeters.The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If = 10, then = a0.

Accepted Solution

A:
1: The ratio between areas is the square of the ratio between sides. So, if STOP has an area of 64, and QUAD:STOP = 3:1, then QUAD's area is 9 times the area of STOP, i.e.[tex]64\cdot 9=576[/tex]2: Since the ratio between sides is 3 to 1, the ratio between perimeters will be 3 to one as well. So, the perimeter of STOP is one third of the perimeter of QUAD, i.e.[tex]210\div 3=70[/tex]3: You didn't report the corresponding sides. However, the sides of STOP are one-third of the corresponding sides of QUAD, and vice versa the sides of QUAD have three times the length of the sides of STOP. Try to use this information to figure out the exercise.