Question

A rectangle has an are of 24.5 square inches. The width of the rectangle is x + 4 *2 and the length is x. Use the quadratic formula to find the dimensions of the rectangle.

Answer 1

A=l*w
24.5=(x + 4 *2)(x)
24.5=(x + 8)(x)
24.5=x^2 + 8x
x^2 + 8x-24.5=0
Use the quadratic formula to find the dimensions :
[-b∓√(b^2-(4*a*c)]/2a
a=1
b=8
c=-24.5

Answer 2

w=x+4*2 Given
length l=x Given
Area = 24.5 sq in. Given
Area=lenght times width
A=x(x +4*2)=x^2+8x=24.5 sq in.
\[x ^{2}+8x=24.5\]
\[x ^{2}+8x-24.5=0\]

Answer 3

The equation is in the quadratic form and now can be solved using the quadratic formula