Question

On Silver Island, a palm tree, a giant rock, and a buried treasure form a triangle with a base of 100 yards and a height of 50 yards. On a map of the island, the three landmarks for a triangle with a base of 2 ft and a height of 1 ft. How many times the area of the triangle on the map is the area of the actual triangle?

Answer 1

The actual area is 45000 time the area of the map

Explanation:

Area of triangle= (1/2) (base x height)

1 yard = 3 foot

Base of the actual triangle= 100 yards= 300ft

Height of the actual triangle= 50 yards= 150ft.

Area of the actual triangle= (1/2) (300 x 150)

= 45000 square ft

Base of the triangle on the map = 2ft

Height of the triangle on the map= 1ft

Area of the triangle on the map= (1/2) (2 x 1)

= 1 square ft.

The actual area is 45000 time the area of the map