Question

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.

Answer 1

the area of a square is

`A=\text{side }*\text{ side}`
`\text{side}=\sqrt[]{1296}=36\text{ in}`

in the draw

6 in ----- 1 cm

36 in ---- x

`\text{side in the draw = }(36\cdot1)/(6)=6\text{ cm}`

the area of the draw is

`\text{Area of the draw=6}\cdot6=36cm^2\text{ }`