The length of the diagonal of a rectangle is 11 cm more than the width and the width is 3 cm less than the length. If the area is 990 cm^2, find the length of the rectangle.

33cm

Step-by-step explanation:

area of a rectangle= length ×width

Let x be the length

990=x( x-3)

990=x^2-3x

x^2-3x-990=0

x^2+30x-33x-990=0

x(x+30)-33(x+30)=0

(x-33)(x+30)=0

x=33, x=-30

length is positive so it'll be 33cm

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42