Answer to Question #273215 in Geometry for Tee

Question

The width of rectangle is 25% shorter than the length. If the perimeter is 21. Find the are of the rectangle

Answer 1

$P=2l+2w=21.$

$w=(1-0.25)l.$

$2l+2(1-0.25)l=21.$

$2l+1.5l=21.$

$l=\frac{21}{3.5}=6.$

$w=0.75l=6*0.75=4.5.$

$A=lw=6*4.5=27.$