The area of a rectangle is 35 m² in the length of rectangle is 3 m more than twice the width find the dimensions of the rectangle

Question

asked Sep 25, 2021 92.6k views

1 Answer

Jiji · Answer 1 · 2021-09-29T06:23:44+0000

Answer:

$Length=10 m\\\\Width=3.5 m$

Explanation:

Area of the rectangle =
35 m^2

Let the width of the rectangle be 'w' meter

Length of the rectangle=
(2w+3) meter

Area of the rectangle = length * Width

$35=(2w+3)(w)\\\\35=2w^2+3w\\\\2w^2+3w-35=0$

Making the factors of the equation:

$2w^2+10w-7w-35=0\\$

Taking common form the equation:

$2w(w+5)-7(w+5)=0\\\\(w+5)(2w-7)=0\\$

$(w+5)=0\\\\w=-5$

OR

$2w-7=0\\\\2w=7\\\\w=7/2\\\\w=3.5m\\\\$

As, the width of the rectangle cannot be negative so the
width(w)= 3.5 m

Length(L)=2w+3= 2(3.5)+3= 7+3=10 m

$Length=10 m\\\\Width=3.5 m$