Question

Draw a figure with area of 64 cm^2 and perimeter of 64cm.

Answer 1

Perimeter:

`P=2x+2y=64`

Area:

`A=x\cdot y=64`

so:

`x=(64)/(y)`

Replace this value into the perimeter equation:

`\begin{gathered} 2(64)/(y)+2y=64 \\ 128+2y^2=64y \\ 2y^2-64y+128=0 \\ y\approx29.8 \end{gathered}`

so:

`\begin{gathered} x=(64)/(29.8)=2.14 \\ \end{gathered}`

Therefore: