Answered

rectarigle is six meters less than its length
the area of the rectangle is 112 m², find
**TUIVU:
length. If the area of the rect:
the dimensions of the rectanal

Answer :

frika

Answer:

Length = 14 meters

Width = 8 meters

Step-by-step explanation:

Let x meters be the length of the rectangle. Rectangle's width is 6 meters less than its length, then the width of the rectangle is x - 6 meters.

Find the area of the rectangle:

[tex]A=x(x-6)\\ \\112=x(x-6)\\ \\x^2-6x=112\\ \\x^2-6x-112=0[/tex]

Solve this equation:

[tex]D=b^2-4ac=(-6)^2-4\cdot 1\cdot (-112)=36+448=484\\ \\x_{1,2}=\dfrac{-b\pm \sqrt{D}}{2a}=\dfrac{-(-6)\pm 22}{2}=\dfrac{6\pm 22}{2}=-8,\ 14[/tex]

Thw length cannot be negative, so x = 14 meters, then x - 6 = 8 meters is the width.

Other Questions