A rectangle has an area of $150$ $cm^2$ . It has a length that is $5$ $cm$ longer than its width. What is the rectangle's length?

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Answer 1 · 2017-07-03T00:46:20

length $=15cm$
width $=10cm$

$l*w=A$

let $w=x$

let $l=x+5$

$A=(x+5)*x$

and distribute: $150=x^2+5x$

move everything to one side: $x^2+5x-150=0$

factor: $(x+15)*(x-10)=0$

$x+15=0$ ; $x=-15$
or
$x-10=0$ ; $x=10$
$x!=-15$ so $x=10$

length $=15cm$
width $=10cm$

A rectangle has an area of 150150 cm^2cm^2. It has a length that is 55 cmcm longer than its width. What is the rectangle's length?