jan is enlarging the sketch shown on a photocopier. which could be the dimensions of her enlargement
42
its 7inx10in
To determine the possible dimensions of Jan's enlargement, we need more specific information about the sketch, such as its original dimensions or the scale factor by which Jan intends to enlarge it.
If we assume that Jan plans to enlarge the sketch proportionally (i.e., maintaining its original aspect ratio), the dimensions of the enlargement could be calculated using the following steps:
1. Determine the original dimensions of the sketch: Measure the length and width of the original sketch in a unit of your choice (e.g., centimeters, inches, etc.). Let's denote the original length as L and the original width as W.
2. Decide on a scale factor: Jan's photocopier might allow her to specify a scale factor for the enlargement. For example, if Jan inputs a scale factor of 2, it means the dimensions of the enlargement will be twice as large as the original sketch. Let's denote the scale factor as k.
3. Calculate the dimensions of the enlargement: Multiply the original dimensions by the scale factor: the length of the enlargement (LE) can be found by multiplying the original length (L) by the scale factor (k), and the width of the enlargement (WE) can be found by multiplying the original width (W) by the scale factor (k). Mathematically, LE = k * L and WE = k * W.
For example, if the original sketch's length (L) was 10 inches and the width (W) was 8 inches, and Jan selected a scale factor (k) of 2, the dimensions of the enlargement would be:
LE = 2 * 10 = 20 inches
WE = 2 * 8 = 16 inches
Therefore, the possible dimensions of Jan's enlargement would be 20 inches (length) by 16 inches (width).