Question

1. dimitri made a scale drawing of a mural he is going to paint. there is a triangular region on the drawing with a base of 2 inches and a height of 3 inches. if the drawing has a scale of 1 inch = 4 feet, what is the actual area of the triangular region?

Explanation:

Step1: Find actual base length

Since 1 inch = 4 feet, for a base of 2 inches on drawing, actual base $b = 2\times4=8$ feet.

Step2: Find actual height length

Since 1 inch = 4 feet, for a height of 3 inches on drawing, actual height $h = 3\times4 = 12$ feet.

Step3: Calculate actual area

Use area formula for triangle $A=\frac{1}{2}bh$. Substitute $b = 8$ and $h = 12$, so $A=\frac{1}{2}\times8\times12=48$ square - feet.

Answer:

48 square feet