Crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 5 inches, and the base of the triangle measures 8 inches. Crystal makes a scale drawing of the triangle. If the height of her scale drawing is 2 inches, what is the area of her scale drawing?
how u get it
To find the area of Crystal's scale drawing of the triangle, we need to first find the scale factor by comparing the actual height of the triangle to the height of the scale drawing.
Scale factor = actual height / height of scale drawing
Scale factor = 5 inches / 2 inches = 2.5
Now, to find the base of the scale drawing, we multiply the actual base of the triangle by the scale factor.
Base of scale drawing = 8 inches * 2.5 = 20 inches
Now, we can find the area of the scale drawing using the formula for the area of a triangle:
Area = 0.5 * base * height
Area = 0.5 * 20 inches * 2 inches = 20 square inches
Therefore, the area of Crystal's scale drawing of the triangle is 20 square inches.
The scale factor is 5/2 = 2.5
Base of scale drawing = 8 * 2.5 = 20 inches
Area of scale drawing = 0.5 * 20 * 2 = 20 square inches
Therefore, the area of Crystal's scale drawing of the triangle is 20 square inches.
what is the hight
The height of the scale drawing is given as 2 inches.
how did u get the answer
I found the scale factor by dividing the actual height of the triangle (5 inches) by the height of the scale drawing (2 inches) to get a scale factor of 2.5.
Then, I multiplied the actual base of the triangle (8 inches) by the scale factor to get the base of the scale drawing (20 inches).
Finally, I used the formula for the area of a triangle (0.5 * base * height) to find the area of the scale drawing by plugging in the values we found (0.5 * 20 inches * 2 inches = 20 square inches).
Sure!
1. I divided the actual height (5 inches) by the height of the scale drawing (2 inches) to find the scale factor, which is 2.5.
2. Then, I multiplied the actual base (8 inches) by the scale factor to get the base of the scale drawing, which is 20 inches.
3. Next, I used the formula for the area of a triangle (0.5 * base * height) to find the area of the scale drawing by plugging in the base and height (0.5 * 20 inches * 2 inches = 20 square inches).
Therefore, the area of Crystal's scale drawing of the triangle is 20 square inches.
1. I divided the actual height (5 inches) by the height of the scale drawing (2 inches) to find the scale factor (2.5).
2. I multiplied the actual base (8 inches) by the scale factor to get the base of the scale drawing (20 inches).
3. Using the formula for the area of a triangle (0.5 * base * height), I found the area of the scale drawing (20 square inches).