Triangle still has a high of 50 feet in a base of 25 feet. George makes a scale drawing of the sail in which the height is 5. What is the area

Answer 1

of the sail on the scale drawing?

We need to use ratios to solve this problem. The ratio of the height to the base in the original triangle is 50/25 = 2/1. The ratio of the height to the base in the scale drawing is 5/x, where x is the length of the base on the scale drawing.

We can set up the following proportion:

2/1 = 5/x

To solve for x, we can cross-multiply:

2x = 5

x = 2.5

So the length of the base on the scale drawing is 2.5. Now we can use the formula for the area of a triangle:

A = (1/2)bh

where b is the length of the base and h is the height. Plugging in the values from the scale drawing:

A = (1/2)(2.5)(5)

A = 6.25

So the area of the sail on the scale drawing is 6.25 square units.