Question

gianna builds a scale model of a cathedral. a triangular wall of the front has the dimensions shown. gianna makes a scale drawing of the wall to cut cloth for the model. image of triangle with height 78 feet, base 5 feet, and scale 2.6 feet : 1 inch what area will the scalde cut? options: a. 6 square inches, b. 12 square inches, c. 15 square inches, d. 27.1 square inches

Explanation:

Step1: Convert height to inches

First, convert the actual height to the scaled height using the given scale. The scale is 2.5 feet = 1 inch, so divide the actual height by 2.5.
$\text{Scaled height} = \frac{15}{2.5} = 6$ inches

Step2: Convert base to inches

Next, convert the actual base length to the scaled base length using the same scale.
$\text{Scaled base} = \frac{5}{2.5} = 2$ inches

Step3: Calculate scaled area

The sail is a triangle, use the area formula for a triangle: $A = \frac{1}{2} \times \text{base} \times \text{height}$.
$A = \frac{1}{2} \times 2 \times 6 = 6$ square inches

Answer:

A. 6 square inches