Question

a rectangle has an area of 30 square meter and a perimeter of 34 meters. what are the dimensions of rectangle?

Answer 1

`A=lw`

`P=2l+2w`


`30=lw`

`34=2l+2w`


`30=lw` -->
`w= (30)/(l)`


`34=2l+2( (30)/(l)) \\ 34=2l+ (60)/(l) \\ 34l=2l^2+60 \\ 2l^2-34l+60=0 \\ 2(l-2)(l-15)=0 \\ l=2, 15`


`30=(2)w`

`15=w`


`30=(15)w`

`2=w`

The dimensions can either be 15 x 2 or 2 x 15.