Ask a New Question
Menu

Rashaan draws these two trapezoids with the dimensions labeled in centimeters. What scale factor does he use to create the trapezoid on the right from the one on the left?

(1 point)

5 answers

To determine the scale factor used to create the trapezoid on the right from the one on the left, you'll need the dimensions of the trapezoids. The scale factor can be calculated by comparing the corresponding dimensions of the two trapezoids.

The scale factor is calculated as:

\[ \text{Scale Factor} = \frac{\text{Dimension of the trapezoid on the right}}{\text{Corresponding Dimension of the trapezoid on the left}} \]

If you provide the specific dimensions of the trapezoids, I can help you find the scale factor.

Trapezoid 1 dimensions: 4,4, and 10
Trapezoid 2 dimensions: 3.2, 3.2, 8, and 4.8

To find the scale factor from Trapezoid 1 to Trapezoid 2, we need to compare the corresponding dimensions.

Trapezoid 1 Dimensions:

  • Base 1: 10 cm
  • Base 2: 4 cm (not repeated if one trapezoid is categorized as an isosceles trapezoid)
  • Height (not mentioned): Assuming isosceles would be derived through symmetric properties, or a third parallel side.

Trapezoid 2 Dimensions:

  • Base 1: 8 cm
  • Base 2: 3.2 cm
  • Height (again not mentioned explicitly)

Let's assume for simplicity's sake (as there is one trapezoid base with unknown height), that we only deal with the measured bases for calculating an auxiliary scale factor.

Now we can calculate the scale factor for the bases:

  1. For Base 1 (Trapezoids 1 to 2): \[ \text{Scale Factor for Base 1} = \frac{8}{10} = 0.8 \]

  2. For Base 2 (Noting both tops would be identical, let's treat them as a reference): \[ \text{Scale Factor for Base 2} = \frac{3.2}{4} = 0.8 \]

Thus, both base measurements yield the same scale factor.

Therefore, the overall scale factor from Trapezoid 1 to Trapezoid 2 is: \[ \text{Scale Factor} = 0.8 \]

This means that each dimension of Trapezoid 2 is \( 0.8 \) times the corresponding dimension of Trapezoid 1.

Scale factor: 1 box = 6 meters

L’Quan needs to convert this scale drawing from a scale factor of 1 box = 6 meters to a scale factorof 1 box = 3 meters. The length in the scale drawing shown is 7 boxes.  What will be the length in boxes of the new drawing?.  

(1 point)

To convert the scale from 1 box = 6 meters to 1 box = 3 meters, we need to determine how many boxes would be needed to represent the same real-world length.

  1. First, calculate the actual length in meters for the original scale drawing: \[ \text{Length in meters} = \text{Length in boxes} \times \text{Scale factor (meters per box)} \] \[ \text{Length in meters} = 7 \text{ boxes} \times 6 \text{ meters/box} = 42 \text{ meters} \]

  2. Next, we need to find out how many boxes would represent the same 42 meters in the new scale (1 box = 3 meters): \[ \text{Length in boxes for the new scale} = \frac{\text{Length in meters}}{\text{Scale factor (meters per box)}} \] \[ \text{Length in boxes for the new scale} = \frac{42 \text{ meters}}{3 \text{ meters/box}} = 14 \text{ boxes} \]

Thus, the length in boxes of the new drawing will be 14 boxes.