Given:
The scale from a playground to a scale drawing of the playground is 4 meters per centimeter.
The length of the playground= 5.3 cm.
The width of the playground = 3.8cm.
To find:
We need to find the area of the actual playground.
Explanation:
The given ratio is
[tex]4m\colon1cm[/tex]The length of the actual playground is
[tex]=5.3\times4m[/tex][tex]=21.2m[/tex]The length of the actual playground is l= 21.2m.
The width of the actual playground is
[tex]=3.8\times4m[/tex][tex]=15.2m[/tex]The width of the actual playground is w = 15.2m.
Consider the area of the rectangle.
[tex]A=lw[/tex]Substitute l=21.2 and w=15.2 in the formula.
[tex]A=21.2\times15.2[/tex][tex]A=322.24m^2[/tex]Final answer:
The area of the actual playground is 322.24 square meters.
