The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If = 15, then =
a0.
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.
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.
perimeter scales as the given ratio. P(QUAD) = 3*P(STOP)
area scales as the ratio squared. A(QUAD) = 9*A(STOP)
To solve these problems involving similar figures and ratios, we can use the concept of proportional relationships.
Let's break down each question and explain how to find the answer:
1. The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If the length of ▱QUAD's side is 15, then what is the length of ▱STOP's corresponding side?
To find the length of ▱STOP's side, we can use the ratio 3:1. Since the ratio is 3:1, we need to divide ▱QUAD's side length (15) by 3 to find ▱STOP's corresponding side length.
▱STOP's side length = 15 / 3 = 5
Therefore, the length of ▱STOP's corresponding side is 5.
2. 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, what is the perimeter of ▱STOP?
The perimeter of a parallelogram is the sum of all its sides. Since the sides are in a ratio of 3:1, we can find the perimeter of ▱STOP by dividing the perimeter of ▱QUAD (210) by 3 (the total of the ratio).
Perimeter of ▱STOP = 210 / 3 = 70
Therefore, the perimeter of ▱STOP is 70 centimeters.
3. The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If the length of ▱STOP's side is 10, then what is the length of ▱QUAD's corresponding side?
Similar to question 1, we can use the ratio 3:1 to find the corresponding side length of ▱QUAD. Divide ▱STOP's side length (10) by 1 to find ▱QUAD's corresponding side length.
▱QUAD's side length = 10 * 3 = 30
Therefore, the length of ▱QUAD's corresponding side is 30.
4. 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, what is the area of ▱QUAD?
The area of a parallelogram is given by the formula: Area = base * height. Since the sides are in a ratio of 3:1, the corresponding sides act as the base and height of the parallelograms.
To find the area of ▱QUAD, we need to square the ratio (3) and multiply it by the area of ▱STOP (64).
Area of ▱QUAD = (3^2) * 64 = 9 * 64 = 576
Therefore, the area of ▱QUAD is 576 square yards.