7 The scale from a square tabletop to a drawing of the tabletop is 6 in. to 1 cm. The actual tabletop has an area of 1,296 in... What is the area of the drawing of the tabletop? Show your work.

Respuesta :

the area of a square is

[tex]A=\text{side }\times\text{ side}[/tex][tex]\text{side}=\sqrt[]{1296}=36\text{ in}[/tex]

in the draw

6 in ----- 1 cm

36 in ---- x

[tex]\text{side in the draw = }\frac{36\cdot1}{6}=6\text{ cm}[/tex]

the area of the draw is

[tex]\text{Area of the draw=6}\cdot6=36cm^2\text{ }[/tex]