Question

PLS HELP ME ASAP PLEASE

The following figure shows a frame of a window shutter of a storeroom of a house which was prepared by folding and wielding a metal wire of 3m length without wastage. Find the area of the sheet which was used to cover it.

Answer 1

Hi,

Explanation:

I don't count the dotted line.

`perimeter=4*r+\pi*r=3\\\\r(4+\pi)=3\\\\r=(3)/(4+\pi)`

`Area=2*r^2+(\pi)/(2)*r^2 \\\\=(1)/(2)* r^2*(4+\pi)\\\\=(1)/(2)* r^2*(3)/(r) \\\\=(3)/(2)*r\\\\=(3*(3)/(4+\pi) )/(2) \\\\=(9)/(2*(4+\pi)) \\\\=0,63011154770050204789928845367207...\\\\\approx{0.63}(m^2)`