Question
The perimeter of a quadrilateral PQRS=3mm and its area is 50mm²
what is the perimeter and area of a quadrilateral PQRS if the scale factor is 1/5
what is the perimeter and area of a quadrilateral PQRS if the scale factor is 1/5
Answers
Reiny
for similar figures,
the perimeters of the two figures are directly proportional to the scale factor
but the areas of the two figures are proportional to the square of that factor
so the perimeter of the shrunken quad is 3(1/5) or 3/5 mm
but the area is 50(1/5)^2 or 2 mm^2
the perimeters of the two figures are directly proportional to the scale factor
but the areas of the two figures are proportional to the square of that factor
so the perimeter of the shrunken quad is 3(1/5) or 3/5 mm
but the area is 50(1/5)^2 or 2 mm^2