Scott makes a scale drawing of a rectangular park. He uses the scale 5 centimeters: 3 meters. The length of his drawing is 20 centimeters and the width is 15 centimeters. What is the area of the park

Respuesta :

Answer:

The area of the park is [tex]108\ m^{2}[/tex]

Step-by-step explanation:

we know that

The scale drawing is [tex]\frac{5}{3}\frac{cm}{m}[/tex]

step 1

Find the actual length of the rectangular park

Divide the length in the drawing by the scale drawing

[tex]20/(5/3)=12\ m[/tex]

step 2

Find the actual width of the rectangular park

Divide the width in the drawing by the scale drawing

[tex]15/(5/3)=9\ m[/tex]

step 3

Find the area of the park

[tex]A=(12)(9)=108\ m^{2}[/tex]