Question

A rectangle has an area of 352 square feet. Its widih is ten feet less than twice the length Find the measures of the length and width of the rectangle.​

Answer 1

The Length is 16.

The width is 22.

Explanation:

`Area=Width*Length\\352=(2L-10)*(L)\\352=2L^2-10L\\0=2L^2-10L-352\\x=(-b+/-√(b^2-4ac) )/(2a) \\b=-10; a=2; c=-352\\ x=(10+/-√(100-4(-352)*(2)) )/(2*2) \\x=(10+/-√(100+2816)) )/(4)\\x=(10+/-√(2916)) )/(4)\\x=(10+/-54 )/(4)\\x=64/4=16`