Question

solve the quadratic equations : the distance between two opposite corners of a rectangular field is 34 metre and the length of the field is less than twice its breadth by 2 metre. find the area of field. question no. .(don't use two variable)​

Answer 1

Answer:

385.92 m²

Step-by-step explanation:

(2w - 2)² + w² = 34²

4w² - 8w + 4 + w² - 1156 = 0

5w² - 8w - 1152 = 0

D = (-8)² - 4*5*(-1152) = 64 + 23040 = 23104

√D = 152

$w_{12}$ = ( - 8 ± 152) / 10

$w_{1}$ = 14.4 m

$w_{2}$  is negative and not a solution of this problem.

l  = 2w - 2 = 2 × 14.4 - 2 = 26.8

A = 14.4 × 26.8 = 385.92 m²