Tiyane makes a scale drawing of the parallelogram. The longer side of the parallelogram is 22.5 inches in her drawing. What is the length of the parallelogram’s shorter side in Tiyane’s scale drawing? the scale factor is 3-inch height 9-inch width
We can determine the length of the shorter side in the scale drawing by using the given scale factor. Since the scale factor is 3, and the actual height of the parallelogram is 9 inches, then the height of the scale drawing is:
9 inches / 3 = 3 inches
Now that we have the height of the scale drawing, we can use the Pythagorean theorem to find the length of the shorter side in the scale drawing (we'll call this length 'a').
The Pythagorean theorem states that for any right triangle, the square of the length of the hypotenuse (the longer side) is equal to the sum of the squares of the other two sides.
In this case, we have the following:
a² + 3² = 22.5²
Now we can solve for 'a'.
a² + 9 = 506.25
a² = 497.25
a ≈ √497.25
a ≈ 22.31 inches
Therefore, the length of the shorter side in Tiyane's scale drawing is approximately 22.31 inches.