Question

The length of a rectangle is 5 cm more than its width and the area is 50cm${}^2$. Find the length.

• A. 5 cm
• B. 7 cm
• C. 10 cm
• D. 15 cm
• E. 25 cm

Answer 1

The correct option is C

10 cm

Let the width be x. Then the length =$x+5$
$x\times (x+5)=50c{m}^2$
$x^2+5x=50$
$x^2+5x-50=0$
$(x+10)(x-5)=0$
$x=-10$ or $x=5$

Therefore, width is 5 cm and length is 10cm.