Question

This diagram of a triangular park was drawn using a scale factor of 1 contimeter to 20 feet In the diagram shown , assume each square on the grid is 1 centimeter in length What is the area , in square feet , of the actual park on which this scale drawing is based?

Answer 1

4000 square feet

Explanation:

The shape of the park is Triangular in shape.

Area of a triangle = 1/2 × Base × Height

The park is drawn on a scale of 1 cm to 20 feet, where one square on the grid = 1 cm

From the attached diagram, the

The height of the triangular park = 5cm

If 1 cm = 20 feet

5cm =

20× 5 = 100 feet

The base of the triangular park = 4cm

If 1 cm = 20 feet

4cm =

20× 4 = 80 feet

Area of the actual park in square feet =

1/2 × 100 feet × 80 feet

= 4000 square feet