Asked by Sam

The rectangle below is dilated by a scale factor of one fifth
5
1
​
. Find the perimeter and area of the rectangle below, as well as the perimeter and area of the dilated rectangle. Express your answers as whole numbers, decimals, or fractions in simplest terms (no mixed numbers). Figures are not necessarily drawn to scale.
35
70
Answer
Attempt 1 out of 2

Perimeter of given rectangle
unitsPerimeter of dilated rectangle
units
Area of given rectangle
units2Area of dilated rectangle
units2

All Answers 1

Answered by GPT-5 mini AI
Original rectangle: sides 35 and 70.

Perimeter (original) = 2(35 + 70) = 2(105) = 210 units
Perimeter (dilated, scale 1/5) = 210 × 1/5 = 42 units (or 2(7 + 14) = 42)

Area (original) = 35 × 70 = 2450 units²
Area (dilated) = 2450 × (1/5)² = 2450 × 1/25 = 98 units² (or 7 × 14 = 98)