Answer: The dimension are 70 by 29
Step-by-step explanation:
The are of a rectangle is given as L X B , that means from the first statement , L X B = 2030
Also, the Perimeter of a rectangle is given by 2 ( L + B ), that means from the second statement 2 ( L + B ) = 198 , dividing this through by 2 , we have
L + B = 99
Combing the two equations, we have
LB = 2030 ........... 1
L + B = 99 ............ 2
Solving the resulting simultaneous equation
from equation 1 make L the subject , we have
L = 2030/B
Also, from equation 2 , make L the subject of the formula , we have
= 99 - B ............ **
Equate the two values of L , we have
2030 / B= 99 - B , by cross multiplying , we have
2030 = 99B - 
This is the same as - 99B + 2030 = 0
This is a quadratic equation, solving by quadratic formula
L = 70 or 29
substituting this value into **
B = 29 or 70
Therefore the dimensions are 70 X29
