The area of a rectangle is 50 m² in the length of the rectangle is 5 m less than three times the width

Answer 1

Area of a rectangle is length x width ( lw ).

In this case, the Area is 50 m² and the length is 5m less than 3 times the width, so length = 3w - 5

The equation for Area of the rectangle becomes :

50 m² = (3w - 5) x ( w )

solve for w gives, (-10/3 and 5).

The only answer that works is w=5.

Plug in 5 and solve for l, l=10